232711712640 has 1024 divisors, whose sum is σ = 942570086400. Its totient is φ = 53747712000.

The previous prime is 232711712621. The next prime is 232711712657. The reversal of 232711712640 is 46217117232.

232711712640 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 1 + 1 + 7 + 1 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232711712595 and 232711712604.

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, 430150770 + ... + 430151310.

It is an arithmetic number, because the mean of its divisors is an integer number (920478600).

Almost surely, 2^232711712640 is an apocalyptic number.

232711712640 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 232711712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471285043200).

232711712640 is an abundant number, since it is smaller than the sum of its proper divisors (709858373760).

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

232711712640 is a wasteful number, since it uses less digits than its factorization.

232711712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 232711712640 its reverse (46217117232), we get a palindrome (278928829872).

The spelling of 232711712640 in words is "two hundred thirty-two billion, seven hundred eleven million, seven hundred twelve thousand, six hundred forty".