In a 4v4 cba hero game with 8 fixed players how many different civs, teams and positions are possible?

= 7! (these many number of different positions for the 8 players coz there are 8 positions and it is cyclic)
X 8C4 (selecting the teams of 4)
X 18C8 (choosing 8 civs out of 18 for the game)
X 8! (assigning the 8 civs to 8 players)

= 622,452,999,168,000
which is approximately 622,453 billion!
WTF