232576738560 has 432 divisors, whose sum is σ = 846008689344. Its totient is φ = 61164896256.

The previous prime is 232576738519. The next prime is 232576738607. The reversal of 232576738560 is 65837675232.

It is a happy number.

232576738560 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 7 + 6 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 232576738497 and 232576738506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22700799 + ... + 22711041.

Almost surely, 2^232576738560 is an apocalyptic number.

232576738560 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 232576738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423004344672).

232576738560 is an abundant number, since it is smaller than the sum of its proper divisors (613431950784).

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

232576738560 is an equidigital number, since it uses as much as digits as its factorization.

232576738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 232576738560 in words is "two hundred thirty-two billion, five hundred seventy-six million, seven hundred thirty-eight thousand, five hundred sixty".