Alright, let's work through 6623 times 5663 step by step
6623 × 5663 = 5663 × (6623)
+ 5663 × 3 giving us 16989
+ 5663 × 20 that results in 113260
+ 5663 × 600 what gives us 3397800
+ 5663 × 6000 that is equal 33978000

= 37506049
