It's about as heavy as a Basketball.
It's about one-and-a-half times as heavy as a Football (Soccer).
In other words, the weight of a Football (Soccer) is 0.670 times 623.689508750 grams.(a.k.a. Soccer, a.k.a. Association Football) (FIFA Law 2 specification)
According to FIFA's Law of the Game number 2, a football must weigh between 410 g and 450 g. An artifact on display at the Smith Art Gallery in Museum in Stirling, Scotland is said to be the world's oldest football and is about one-third to one-half the size of a modern football.
It's about one-and-a-half times as heavy as a Football (American).
In other words, 623.689508750 grams is 1.517241379310 times the weight of a Football (American), and the weight of a Football (American) is 0.65909090909110 times that amount.(a.k.a. "pigskin") (NFL standard)
Per National Football League official rules, an American football must weigh between 396.89332375 g and 425.242846875 g. Because of NFL regulations, ceremonial considerations, and backup requirements, each NFL Superbowl requires the manufacture of 144 balls exclusively for the event.
It's about three-fifths as heavy as a liter of Water.
In other words, 623.689508750 grams is 0.6236720 times the weight of a liter of Water, and the weight of a liter of Water is 1.6034070 times that amount.(fresh; 4° C / 39.2° F; maximum density)
Contrary to popular belief, 1 liter (0.0.264172052358148 gal) of water at 4° C / 39.2° F (its point of maximum density) weighs 1,000.028 grams rather than 1 kg exactly. The total volume of water on the planet Earth is about 13,590,000,000,000,000,000 (13.59 quntillion) L (3,590,000,000,000,000,000 gallons).
It's about one-and-four-fifths times as heavy as a Can of Soup.
In other words, the weight of a Can of Soup is 0.560 times 623.689508750 grams.(for Campbell''s Condensed Tomato Soup, 317.9 ml)
A can of Campbell''s Tomato Soup weighs 350 g. Cans have been used to store soup and other foods since their invention in 1913, but a dedicated can opener was not developed until cans began to use thinner materials — prior to that time, cans were usually opened using various blunt instruments and tools.
It's about two times as heavy as a Human Heart.
It's about half as heavy as a Human Brain.
In other words, 623.689508750 grams is 0.4620 times the weight of a Human Brain, and the weight of a Human Brain is 2.160 times that amount.(adult)
The average weight of an adult human brain is between 1,300 and 1,400 g. In humans and primates, sight and vision utilize about 30 different parts of the brain which together account for about half of the brain's size.