A number is divisible by 6 if it is divisible by both 2 and 3. Thus, the last digit can be filled by 0, 2, 4 only. The first place can be filled by 5 choices except 0 and second and third by 6 choices. The fourth placed is filled such that it must of the form 3k or 3k + 1 or 3k + 2. Thus it can be filled by only two choices 0 or 3. Hence the total numbers are, Number = 5 × 6 × 6 × 2 × 3 = 1080