915132568680 has 768 divisors, whose sum is σ = 3457127520000. Its totient is φ = 215039784960.

The previous prime is 915132568661. The next prime is 915132568781. The reversal of 915132568680 is 86865231519.

915132568680 is a `hidden beast` number, since 9 + 1 + 5 + 13 + 2 + 568 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 837266214 + ... + 837267306.

It is an arithmetic number, because the mean of its divisors is an integer number (4501468125).

Almost surely, 2^915132568680 is an apocalyptic number.

915132568680 is a gapful number since it is divisible by the number (90) 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 915132568680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728563760000).

915132568680 is an abundant number, since it is smaller than the sum of its proper divisors (2541994951320).

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

915132568680 is a wasteful number, since it uses less digits than its factorization.

915132568680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 915132568680 in words is "nine hundred fifteen billion, one hundred thirty-two million, five hundred sixty-eight thousand, six hundred eighty".