232755768000 has 1680 divisors, whose sum is σ = 1039333399104. Its totient is φ = 50363596800.

The previous prime is 232755767969. The next prime is 232755768013. The reversal of 232755768000 is 867557232.

232755768000 is a `hidden beast` number, since 2 + 3 + 2 + 75 + 576 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2399543952 + ... + 2399544048.

Almost surely, 2^232755768000 is an apocalyptic number.

232755768000 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 232755768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519666699552).

232755768000 is an abundant number, since it is smaller than the sum of its proper divisors (806577631104).

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

232755768000 is an equidigital number, since it uses as much as digits as its factorization.

232755768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 232755768000 in words is "two hundred thirty-two billion, seven hundred fifty-five million, seven hundred sixty-eight thousand".