976847376960 has 2240 divisors, whose sum is σ = 4580064276480. Its totient is φ = 191879331840.

The previous prime is 976847376929. The next prime is 976847377003. The reversal of 976847376960 is 69673748679.

976847376960 is a `hidden beast` number, since 9 + 7 + 68 + 473 + 7 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3181913127 + ... + 3181913433.

It is an arithmetic number, because the mean of its divisors is an integer number (2044671552).

Almost surely, 2^976847376960 is an apocalyptic number.

976847376960 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 976847376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032138240).

976847376960 is an abundant number, since it is smaller than the sum of its proper divisors (3603216899520).

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

976847376960 is a wasteful number, since it uses less digits than its factorization.

976847376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 976847376960 in words is "nine hundred seventy-six billion, eight hundred forty-seven million, three hundred seventy-six thousand, nine hundred sixty".