972541624320 has 1920 divisors, whose sum is σ = 4350569810400. Its totient is φ = 203333566464.

The previous prime is 972541624303. The next prime is 972541624333. The reversal of 972541624320 is 23426145279.

972541624320 is a `hidden beast` number, since 9 + 7 + 2 + 54 + 162 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×972541624320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33535918066 + ... + 33535918094.

Almost surely, 2^972541624320 is an apocalyptic number.

972541624320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972541624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175284905200).

972541624320 is an abundant number, since it is smaller than the sum of its proper divisors (3378028186080).

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

972541624320 is an equidigital number, since it uses as much as digits as its factorization.

972541624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 972541624320 its reverse (23426145279), we get a palindrome (995967769599).

The spelling of 972541624320 in words is "nine hundred seventy-two billion, five hundred forty-one million, six hundred twenty-four thousand, three hundred twenty".