233039560704 has 128 divisors (see below), whose sum is σ = 641483842560. Its totient is φ = 75173068800.

The previous prime is 233039560669. The next prime is 233039560711. The reversal of 233039560704 is 407065930332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×233039560704² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3009189 + ... + 3085659.

It is an arithmetic number, because the mean of its divisors is an integer number (5011592520).

Almost surely, 2^233039560704 is an apocalyptic number.

233039560704 is a gapful number since it is divisible by the number (24) 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 233039560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320741921280).

233039560704 is an abundant number, since it is smaller than the sum of its proper divisors (408444281856).

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

233039560704 is an frugal number, since it uses more digits than its factorization.

233039560704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76535 (or 76507 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 42.

The spelling of 233039560704 in words is "two hundred thirty-three billion, thirty-nine million, five hundred sixty thousand, seven hundred four".