232634747064720 has 2880 divisors, whose sum is σ = 1056574048147200. Its totient is φ = 41704685568000.

The previous prime is 232634747064689. The next prime is 232634747064757. The reversal of 232634747064720 is 27460747436232.

232634747064720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55376038620 + ... + 55376042820.

It is an arithmetic number, because the mean of its divisors is an integer number (366865988940).

Almost surely, 2^{232634747064720} is an apocalyptic number.

232634747064720 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 232634747064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528287024073600).

232634747064720 is an abundant number, since it is smaller than the sum of its proper divisors (823939301082480).

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

232634747064720 is a wasteful number, since it uses less digits than its factorization.

232634747064720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 57.

The spelling of 232634747064720 in words is "two hundred thirty-two trillion, six hundred thirty-four billion, seven hundred forty-seven million, sixty-four thousand, seven hundred twenty".