233615672640 has 896 divisors, whose sum is σ = 991028183040. Its totient is φ = 50678784000.

The previous prime is 233615672603. The next prime is 233615672651. The reversal of 233615672640 is 46276516332.

233615672640 is a `hidden beast` number, since 2 + 3 + 3 + 61 + 567 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99367465 + ... + 99369815.

It is an arithmetic number, because the mean of its divisors is an integer number (1106058240).

Almost surely, 2^233615672640 is an apocalyptic number.

233615672640 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 233615672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495514091520).

233615672640 is an abundant number, since it is smaller than the sum of its proper divisors (757412510400).

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

233615672640 is a wasteful number, since it uses less digits than its factorization.

233615672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 233615672640 in words is "two hundred thirty-three billion, six hundred fifteen million, six hundred seventy-two thousand, six hundred forty".