956791452960 has 480 divisors, whose sum is σ = 3862585077120. Its totient is φ = 218495397888.

The previous prime is 956791452937. The next prime is 956791452977. The reversal of 956791452960 is 69254197659.

956791452960 is a `hidden beast` number, since 9 + 5 + 6 + 7 + 91 + 452 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114212292 + ... + 114220668.

It is an arithmetic number, because the mean of its divisors is an integer number (8047052244).

Almost surely, 2^956791452960 is an apocalyptic number.

956791452960 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 956791452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931292538560).

956791452960 is an abundant number, since it is smaller than the sum of its proper divisors (2905793624160).

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

956791452960 is a wasteful number, since it uses less digits than its factorization.

956791452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 956791452960 in words is "nine hundred fifty-six billion, seven hundred ninety-one million, four hundred fifty-two thousand, nine hundred sixty".