976076568768 has 224 divisors, whose sum is σ = 3053318963200. Its totient is φ = 269294699520.

The previous prime is 976076568757. The next prime is 976076568781. The reversal of 976076568768 is 867865670679.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 976076568768.

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 31 ways as a sum of consecutive naturals, for example, 19265133 + ... + 19315731.

Almost surely, 2^976076568768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 976076568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526659481600).

976076568768 is an abundant number, since it is smaller than the sum of its proper divisors (2077242394432).

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

976076568768 is a wasteful number, since it uses less digits than its factorization.

976076568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51115 (or 51105 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 75.

The spelling of 976076568768 in words is "nine hundred seventy-six billion, seventy-six million, five hundred sixty-eight thousand, seven hundred sixty-eight".