972678565180 has 96 divisors (see below), whose sum is σ = 2353770381312. Its totient is φ = 330728832000.

The previous prime is 972678565123. The next prime is 972678565181. The reversal of 972678565180 is 81565876279.

It is a super-2 number, since 2×972678565180² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972678565181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49792015 + ... + 49811545.

It is an arithmetic number, because the mean of its divisors is an integer number (24518441472).

Almost surely, 2^972678565180 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 972678565180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176885190656).

972678565180 is an abundant number, since it is smaller than the sum of its proper divisors (1381091816132).

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

972678565180 is a wasteful number, since it uses less digits than its factorization.

972678565180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22475 (or 22473 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 64.

The spelling of 972678565180 in words is "nine hundred seventy-two billion, six hundred seventy-eight million, five hundred sixty-five thousand, one hundred eighty".