976750980480 has 384 divisors, whose sum is σ = 3815748518400. Its totient is φ = 236787701760.

The previous prime is 976750980461. The next prime is 976750980529. The reversal of 976750980480 is 84089057679.

976750980480 is a `hidden beast` number, since 9 + 7 + 6 + 7 + 509 + 80 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1425241 + ... + 1996199.

It is an arithmetic number, because the mean of its divisors is an integer number (9936845100).

Almost surely, 2^976750980480 is an apocalyptic number.

976750980480 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 976750980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907874259200).

976750980480 is an abundant number, since it is smaller than the sum of its proper divisors (2838997537920).

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

976750980480 is a wasteful number, since it uses less digits than its factorization.

976750980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571004 (or 570980 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 976750980480 in words is "nine hundred seventy-six billion, seven hundred fifty million, nine hundred eighty thousand, four hundred eighty".