Alright, let's work through 6437 times 8953 step by step
6437 × 8953 = 8953 × (6437)
+ 8953 × 7 resulting in 62671
+ 8953 × 30 what gives us 268590
+ 8953 × 400 resulting in 3581200
+ 8953 × 6000 yielding 53718000

= 57630461
