Alright, let's work through 6554 times 5378 step by step
6554 × 5378 = 5378 × (6554)
+ 5378 × 4 that results in 21512
+ 5378 × 50 giving us 268900
+ 5378 × 500 yielding 2689000
+ 5378 × 6000 which equals 32268000

= 35247412
