976491806976 has 729 divisors, whose sum is σ = 3499349033271. Its totient is φ = 261068193792.

The previous prime is 976491806957. The next prime is 976491807059. The reversal of 976491806976 is 679608194679.

The square root of 976491806976 is 988176.

It is a perfect power (a square), and thus also a powerful number.

976491806976 is a `hidden beast` number, since 9 + 7 + 6 + 491 + 8 + 0 + 69 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478620446976 + 497871360000 = 691824^2 + 705600^2 .

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 80 ways as a sum of consecutive naturals, for example, 5644461226 + ... + 5644461398.

Almost surely, 2^976491806976 is an apocalyptic number.

976491806976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

976491806976 is the 988176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 976491806976

976491806976 is an abundant number, since it is smaller than the sum of its proper divisors (2522857226295).

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

976491806976 is a wasteful number, since it uses less digits than its factorization.

976491806976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 976491806976 in words is "nine hundred seventy-six billion, four hundred ninety-one million, eight hundred six thousand, nine hundred seventy-six".