232320758400 has 576 divisors, whose sum is σ = 844050051000. Its totient is φ = 60836413440.

The previous prime is 232320758399. The next prime is 232320758431. The reversal of 232320758400 is 4857023232.

232320758400 is a `hidden beast` number, since 23 + 23 + 207 + 5 + 8 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10389317184 + 221931441216 = 101928^2 + 471096^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 597225406 + ... + 597225794.

Almost surely, 2^232320758400 is an apocalyptic number.

232320758400 is a gapful number since it is divisible by the number (20) 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 232320758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422025025500).

232320758400 is an abundant number, since it is smaller than the sum of its proper divisors (611729292600).

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

232320758400 is a wasteful number, since it uses less digits than its factorization.

232320758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 232320758400 in words is "two hundred thirty-two billion, three hundred twenty million, seven hundred fifty-eight thousand, four hundred".