The Big Cheese is the only Cog that can perform an attack that varies in damage and accuracy at the same level. In this case, his Glower Power attack can vary in damage and accuracy because the game is programmed to use unreleased attacks such as Cigar Smoke, Flood the Market, and Song and Dance, all of which default and carry over their damage and accuracy values to Glower Power.
The Big Cheese is the only tier eight Cog capable of inflicting 20 damage at level 11 by using Glower Power.
The Big Cheese is the only tier eight Cog to inflict more than 21 damage at level 12, dealing 22 damage.
The Big Cheese and the Legal Eagle are the only Cogs that can perform an attack that deals 22 damage.
There are two statues of The Big Cheese sitting from each side of the Executive Office Tower and one statue where he is swinging with a golf club that is on top of the oil fountain located at Bossbot Headquarters.
The Big Cheese and The Mingler are the only two Cogs with "the" in their name.