232500336768 has 960 divisors, whose sum is σ = 854323113600. Its totient is φ = 62475743232.

The previous prime is 232500336697. The next prime is 232500336773. The reversal of 232500336768 is 867633005232.

232500336768 is a `hidden beast` number, since 2 + 3 + 250 + 0 + 336 + 7 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 633515721 + ... + 633516087.

It is an arithmetic number, because the mean of its divisors is an integer number (889919910).

Almost surely, 2^232500336768 is an apocalyptic number.

232500336768 is a gapful number since it is divisible by the number (28) 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 232500336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427161556800).

232500336768 is an abundant number, since it is smaller than the sum of its proper divisors (621822776832).

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

232500336768 is a wasteful number, since it uses less digits than its factorization.

232500336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 232500336768 in words is "two hundred thirty-two billion, five hundred million, three hundred thirty-six thousand, seven hundred sixty-eight".