972454878720 has 1920 divisors, whose sum is σ = 4076064115200. Its totient is φ = 218805829632.

The previous prime is 972454878709. The next prime is 972454878739. The reversal of 972454878720 is 27878454279.

972454878720 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 548 + 7 + 87 + 2 + 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 2×972454878720² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 11716323799 + ... + 11716323881.

It is an arithmetic number, because the mean of its divisors is an integer number (2122950060).

Almost surely, 2^972454878720 is an apocalyptic number.

972454878720 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 972454878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038032057600).

972454878720 is an abundant number, since it is smaller than the sum of its proper divisors (3103609236480).

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

972454878720 is a wasteful number, since it uses less digits than its factorization.

972454878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 972454878720 in words is "nine hundred seventy-two billion, four hundred fifty-four million, eight hundred seventy-eight thousand, seven hundred twenty".