Alright, let's work through 6677 times 6717 step by step
6677 × 6717 = 6717 × (6677)
+ 6717 × 7 that is equal 47019
+ 6717 × 70 that equals 470190
+ 6717 × 600 producing 4030200
+ 6717 × 6000 that results in 40302000

= 44849409
