976195000560 has 640 divisors, whose sum is σ = 3564311869440. Its totient is φ = 218927923200.

The previous prime is 976195000553. The next prime is 976195000597. The reversal of 976195000560 is 65000591679.

976195000560 is a nontrivial binomial coefficient, being equal to C(1397280, 2).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172561252 + ... + 172566908.

It is an arithmetic number, because the mean of its divisors is an integer number (5569237296).

Almost surely, 2^976195000560 is an apocalyptic number.

976195000560 is the 1397279-th triangular number and also the 698640-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 976195000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782155934720).

976195000560 is an abundant number, since it is smaller than the sum of its proper divisors (2588116868880).

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

976195000560 is a wasteful number, since it uses less digits than its factorization.

976195000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

The spelling of 976195000560 in words is "nine hundred seventy-six billion, one hundred ninety-five million, five hundred sixty", and thus it is an aban number.