233934652640 has 192 divisors, whose sum is σ = 651928253760. Its totient is φ = 78491320320.

The previous prime is 233934652631. The next prime is 233934652709. The reversal of 233934652640 is 46256439332.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911375 + ... + 1139505.

It is an arithmetic number, because the mean of its divisors is an integer number (3395459655).

Almost surely, 2^233934652640 is an apocalyptic number.

233934652640 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 233934652640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325964126880).

233934652640 is an abundant number, since it is smaller than the sum of its proper divisors (417993601120).

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

233934652640 is a wasteful number, since it uses less digits than its factorization.

233934652640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228205 (or 228197 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 47.

The spelling of 233934652640 in words is "two hundred thirty-three billion, nine hundred thirty-four million, six hundred fifty-two thousand, six hundred forty".