232867752768 has 560 divisors, whose sum is σ = 846918889344. Its totient is φ = 61750149120.

The previous prime is 232867752743. The next prime is 232867752773. The reversal of 232867752768 is 867257768232.

232867752768 is a `hidden beast` number, since 2 + 32 + 8 + 6 + 77 + 527 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (94832640) is a multiple of the sum of its prime factors (5292).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45030823 + ... + 45035993.

Almost surely, 2^232867752768 is an apocalyptic number.

232867752768 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 232867752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423459444672).

232867752768 is an abundant number, since it is smaller than the sum of its proper divisors (614051136576).

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

232867752768 is a wasteful number, since it uses less digits than its factorization.

232867752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5273 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 232867752768 in words is "two hundred thirty-two billion, eight hundred sixty-seven million, seven hundred fifty-two thousand, seven hundred sixty-eight".