Alright, let's work through 6437 times 9748 step by step
6437 × 9748 = 9748 × (6437)
+ 9748 × 7 resulting in 68236
+ 9748 × 30 that results in 292440
+ 9748 × 400 giving us 3899200
+ 9748 × 6000 what gives us 58488000

= 62747876
