232664467200 has 864 divisors, whose sum is σ = 882075543552. Its totient is φ = 53458944000.

The previous prime is 232664467181. The next prime is 232664467201. The reversal of 232664467200 is 2764466232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232664467201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1024953487 + ... + 1024953713.

It is an arithmetic number, because the mean of its divisors is an integer number (1020920768).

Almost surely, 2^232664467200 is an apocalyptic number.

232664467200 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 232664467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441037771776).

232664467200 is an abundant number, since it is smaller than the sum of its proper divisors (649411076352).

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

232664467200 is a wasteful number, since it uses less digits than its factorization.

232664467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 232664467200 in words is "two hundred thirty-two billion, six hundred sixty-four million, four hundred sixty-seven thousand, two hundred".