It's about 0.000000002 times as heavy as The Empire State Building
In other words, 623.689508750 grams is 0.000000001880 times the weight of The Empire State Building, and the weight of The Empire State Building is 532,000,000 times that amount.(New York City, New York)
The Empire State Building weighs approximately 331,000,000,000 grams. About 4% of the building's weight is its 6,000 cu. m (200,000 cu. ft) of limestone façade.
It's about 0.0000000008 times as heavy as The Golden Gate Bridge
In other words, 623.689508750 grams is 0.0000000007750 times the weight of The Golden Gate Bridge, and the weight of The Golden Gate Bridge is 1,290,000,000 times that amount.(San Francisco, California and Marin County, California) (Post 1986 weight reduction; total weight of bridge, anchorage, and approaches)
Following the completion of the 1986 project to eliminate excess material, the total weight of the Golden Gate Bridge — including its anchorages and approaches — is 805,000,000,000 grams. The two main cables in the spanning the bridge are spun out of a total of 129,000 km (80,200 mi) of wire.
It's about 0.0000000001 times as heavy as The Great Pyramid of Giza
In other words, 623.689508750 grams is 0.000000000110 times the weight of The Great Pyramid of Giza, and the weight of The Great Pyramid of Giza is 9,100,000,000 times that amount.(a.k.a. Pyramid of Khufu, a.k.a. Pyramid of Cheops) (Cairo, Egypt)
The Great Pyramid of Giza has an estimated mass of 5,900,000,000,000 grams. The 2,300,000 stones used in the construction of the pyramid weighed an average 2,300,000 grams and were quarried from distances of up to 805 km (500 mi) away.
It's about 0.0000000000000000000000000000003 times as heavy as The Sun
In other words, 623.689508750 grams is 0.000000000000000000000000000000310 times the weight of The Sun, and the weight of The Sun is 3,199,999,999,999,999,725,860,827,430,912.000000000000000000000000000000000 times that amount.The sun has a mass of 1,999,999,999,999,999,789,693,369,568,683,098,112.000000000000000000000000000000000000000 grams which represents 99.9% of the solar system's total mass. 98.7% of the sun's mass consists of hydrogen and helium — respectively the lightest and second-lightest elements in the universe.
It's about 0.0000000000000000000000001 times as heavy as The Earth
In other words, 623.689508750 grams is 0.000000000000000000000000104410 times the weight of The Earth, and the weight of The Earth is 9,577,599,999,999,999,966,445,568.000000000000000000000000000000 times that amount.The mass of the planet Earth is 5,973,599,999,999,999,865,849,380,864.000000000000000000000000000000000 grams. The element iron makes up about 32% of that mass, or 1,917,499,999,999,999,839,249,104,896.000000000000000000000000000000000 grams.