972747000864 has 144 divisors (see below), whose sum is σ = 2825694668160. Its totient is φ = 317347752960.

The previous prime is 972747000833. The next prime is 972747000881. The reversal of 972747000864 is 468000747279.

972747000864 is a `hidden beast` number, since 97 + 2 + 7 + 470 + 0 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 972747000864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2627757 + ... + 2974995.

It is an arithmetic number, because the mean of its divisors is an integer number (19622879640).

Almost surely, 2^972747000864 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 972747000864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412847334080).

972747000864 is an abundant number, since it is smaller than the sum of its proper divisors (1852947667296).

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

972747000864 is a wasteful number, since it uses less digits than its factorization.

972747000864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347463 (or 347452 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 972747000864 in words is "nine hundred seventy-two billion, seven hundred forty-seven million, eight hundred sixty-four", and thus it is an aban number.