232739020800 has 1008 divisors, whose sum is σ = 980528054688. Its totient is φ = 52022476800.

The previous prime is 232739020751. The next prime is 232739020823. The reversal of 232739020800 is 8020937232.

232739020800 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 263577159 + ... + 263578041.

It is an arithmetic number, because the mean of its divisors is an integer number (972746086).

Almost surely, 2^232739020800 is an apocalyptic number.

232739020800 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 232739020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490264027344).

232739020800 is an abundant number, since it is smaller than the sum of its proper divisors (747789033888).

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

232739020800 is a wasteful number, since it uses less digits than its factorization.

232739020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 232739020800 in words is "two hundred thirty-two billion, seven hundred thirty-nine million, twenty thousand, eight hundred".