232939264320 has 1344 divisors, whose sum is σ = 1016730869760. Its totient is φ = 49150291968.

The previous prime is 232939264291. The next prime is 232939264379. The reversal of 232939264320 is 23462939232.

232939264320 is a `hidden beast` number, since 2 + 32 + 9 + 39 + 264 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1026164047 + ... + 1026164273.

Almost surely, 2^232939264320 is an apocalyptic number.

232939264320 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 232939264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508365434880).

232939264320 is an abundant number, since it is smaller than the sum of its proper divisors (783791605440).

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

232939264320 is a wasteful number, since it uses less digits than its factorization.

232939264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 232939264320 in words is "two hundred thirty-two billion, nine hundred thirty-nine million, two hundred sixty-four thousand, three hundred twenty".