232709874628608 has 1152 divisors, whose sum is σ = 804861685555200. Its totient is φ = 66535558742016.

The previous prime is 232709874628597. The next prime is 232709874628613. The reversal of 232709874628608 is 806826478907232.

232709874628608 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 0 + 9 + 8 + 7 + 4 + 6 + 2 + 8 + 608 = 666.

232709874628608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8688702385 + ... + 8688729167.

It is an arithmetic number, because the mean of its divisors is an integer number (698664657600).

Almost surely, 2^{232709874628608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232709874628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402430842777600).

232709874628608 is an abundant number, since it is smaller than the sum of its proper divisors (572151810926592).

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

232709874628608 is a wasteful number, since it uses less digits than its factorization.

232709874628608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26929 (or 26897 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 232709874628608 in words is "two hundred thirty-two trillion, seven hundred nine billion, eight hundred seventy-four million, six hundred twenty-eight thousand, six hundred eight".