974031517680 has 320 divisors, whose sum is σ = 3502524157440. Its totient is φ = 221859606528.

The previous prime is 974031517649. The next prime is 974031517733. The reversal of 974031517680 is 86715130479.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357982 + ... + 2740098.

It is an arithmetic number, because the mean of its divisors is an integer number (10945387992).

Almost surely, 2^974031517680 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 974031517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751262078720).

974031517680 is an abundant number, since it is smaller than the sum of its proper divisors (2528492639760).

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

974031517680 is a wasteful number, since it uses less digits than its factorization.

974031517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382208 (or 382202 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 974031517680 in words is "nine hundred seventy-four billion, thirty-one million, five hundred seventeen thousand, six hundred eighty".