8480415785688 has 768 divisors, whose sum is σ = 30453420096000. Its totient is φ = 2161777766400.

The previous prime is 8480415785671. The next prime is 8480415785713. The reversal of 8480415785688 is 8865875140848.

8480415785688 is a `hidden beast` number, since 8 + 4 + 8 + 0 + 4 + 1 + 57 + 8 + 568 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1793276508 + ... + 1793281236.

It is an arithmetic number, because the mean of its divisors is an integer number (39652890750).

Almost surely, 2^{8480415785688} is an apocalyptic number.

8480415785688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8480415785688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226710048000).

8480415785688 is an abundant number, since it is smaller than the sum of its proper divisors (21973004310312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8480415785688 is a wasteful number, since it uses less digits than its factorization.

8480415785688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 550502400, while the sum is 72.

The spelling of 8480415785688 in words is "eight trillion, four hundred eighty billion, four hundred fifteen million, seven hundred eighty-five thousand, six hundred eighty-eight".