W.C 1.3 Cube It Up

Find the addition of the sum of the digits for all cubes from 1 to n for the following values of n:

5
500
5,000,000,000
The final answer should be the multiplication of answers for all the above values of n.
Since the multiplication can be very large, use modulus operation with 1000007 to compute the final answer.

FOR EXAMPLE:
For n=3
1³, 2³, 3³
1,8,27
Sum of digits= 1,8,9
Ans=1+8+9=18%1000007=18

PS: 9³=729. The sum of the digits is not 18, it is 9. The sum of digits is always between 0 and 9.

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