9972458760 has 64 divisors (see below), whose sum is σ = 32637142080. Its totient is φ = 2417565440.

The previous prime is 9972458729. The next prime is 9972458831. The reversal of 9972458760 is 678542799.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9972458760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3776127 + ... + 3778766.

It is an arithmetic number, because the mean of its divisors is an integer number (509955345).

Almost surely, 2^9972458760 is an apocalyptic number.

It is an amenable number.

9972458760 is an abundant number, since it is smaller than the sum of its proper divisors (22664683320).

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

9972458760 is a wasteful number, since it uses less digits than its factorization.

9972458760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7554918 (or 7554914 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 9972458760 is about 99862.1988542211. The cubic root of 9972458760 is about 2152.4550113958.

The spelling of 9972458760 in words is "nine billion, nine hundred seventy-two million, four hundred fifty-eight thousand, seven hundred sixty".