Alright, let's work through 5641 times 6624 step by step
5641 × 6624 = 6624 × (5641)
+ 6624 × 1 that results in 6624
+ 6624 × 40 giving us 264960
+ 6624 × 600 what gives us 3974400
+ 6624 × 5000 producing 33120000

= 37365984
