972641664 has 96 divisors (see below), whose sum is σ = 2920647600. Its totient is φ = 310109184.

The previous prime is 972641651. The next prime is 972641693. The reversal of 972641664 is 466146279.

972641664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8142 + ... + 44850.

Almost surely, 2^972641664 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 972641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460323800).

972641664 is an abundant number, since it is smaller than the sum of its proper divisors (1948005936).

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

972641664 is a wasteful number, since it uses less digits than its factorization.

972641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36752 (or 36737 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 972641664 is about 31187.2035296530. The cubic root of 972641664 is about 990.7961028363.

The spelling of 972641664 in words is "nine hundred seventy-two million, six hundred forty-one thousand, six hundred sixty-four".