973231625074800 has 1920 divisors, whose sum is σ = 4171410452643840. Its totient is φ = 188161682227200.

The previous prime is 973231625074771. The next prime is 973231625074873. The reversal of 973231625074800 is 8470526132379.

973231625074800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×973231625074800² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 248463522442 + ... + 248463526358.

It is an arithmetic number, because the mean of its divisors is an integer number (2172609610752).

It is a 1-persistent number, because it is pandigital, but 2⋅973231625074800 = 1946463250149600 is not.

Almost surely, 2^{973231625074800} 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 973231625074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085705226321920).

973231625074800 is an abundant number, since it is smaller than the sum of its proper divisors (3198178827569040).

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

973231625074800 is a wasteful number, since it uses less digits than its factorization.

973231625074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 973231625074800 in words is "nine hundred seventy-three trillion, two hundred thirty-one billion, six hundred twenty-five million, seventy-four thousand, eight hundred".