Alright, let's work through 5464 times 6744 step by step
5464 × 6744 = 6744 × (5464)
+ 6744 × 4 what gives us 26976
+ 6744 × 60 that results in 404640
+ 6744 × 400 resulting in 2697600
+ 6744 × 5000 giving us 33720000

= 36849216
