972976969800 has 1152 divisors, whose sum is σ = 4001143910400. Its totient is φ = 208825344000.

The previous prime is 972976969777. The next prime is 972976969801. The reversal of 972976969800 is 8969679279.

It is a super-2 number, since 2×972976969800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (972976969801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1068031345 + ... + 1068032255.

It is an arithmetic number, because the mean of its divisors is an integer number (3473215200).

Almost surely, 2^972976969800 is an apocalyptic number.

972976969800 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 972976969800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000571955200).

972976969800 is an abundant number, since it is smaller than the sum of its proper divisors (3028166940600).

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

972976969800 is a wasteful number, since it uses less digits than its factorization.

972976969800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 972976969800 in words is "nine hundred seventy-two billion, nine hundred seventy-six million, nine hundred sixty-nine thousand, eight hundred".