8913007656000 has 2688 divisors, whose sum is σ = 41586104401920. Its totient is φ = 1773674496000.

The previous prime is 8913007655999. The next prime is 8913007656041. The reversal of 8913007656000 is 6567003198.

It is a happy number.

8913007656000 is a `hidden beast` number, since 8 + 9 + 1 + 30 + 0 + 7 + 6 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×8913007656000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6108983271 + ... + 6108984729.

Almost surely, 2^{8913007656000} is an apocalyptic number.

8913007656000 is a gapful number since it is divisible by the number (80) 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 8913007656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20793052200960).

8913007656000 is an abundant number, since it is smaller than the sum of its proper divisors (32673096745920).

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

8913007656000 is a wasteful number, since it uses less digits than its factorization.

8913007656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 8913007656000 in words is "eight trillion, nine hundred thirteen billion, seven million, six hundred fifty-six thousand".