Alright, let's work through 8664 times 2008 step by step
8664 × 2008 = 2008 × (8664)
+ 2008 × 4 that results in 8032
+ 2008 × 60 what gives us 120480
+ 2008 × 600 that results in 1204800
+ 2008 × 8000 that is equal 16064000

= 17397312
