972440957760 has 224 divisors, whose sum is σ = 3441177613440. Its totient is φ = 231218085888.

The previous prime is 972440957753. The next prime is 972440957767. The reversal of 972440957760 is 67759044279.

It is an interprime number because it is at equal distance from previous prime (972440957753) and next prime (972440957767).

It is a super-3 number, since 3×972440957760³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 972440957694 and 972440957703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972440957767) 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, 1257969 + ... + 1878128.

It is an arithmetic number, because the mean of its divisors is an integer number (15362400060).

Almost surely, 2^972440957760 is an apocalyptic number.

It is an amenable number.

972440957760 is an abundant number, since it is smaller than the sum of its proper divisors (2468736655680).

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

972440957760 is a wasteful number, since it uses less digits than its factorization.

972440957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136153 (or 3136143 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 972440957760 in words is "nine hundred seventy-two billion, four hundred forty million, nine hundred fifty-seven thousand, seven hundred sixty".