Alright, let's work through 8624 times 6608 step by step
8624 × 6608 = 6608 × (8624)
+ 6608 × 4 producing 26432
+ 6608 × 20 resulting in 132160
+ 6608 × 600 resulting in 3964800
+ 6608 × 8000 which equals 52864000

= 56987392
