232972615680 has 552 divisors, whose sum is σ = 890668736832. Its totient is φ = 50935627776.

The previous prime is 232972615643. The next prime is 232972615691. The reversal of 232972615680 is 86516279232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (552).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10129244149 + ... + 10129244171.

Almost surely, 2^232972615680 is an apocalyptic number.

232972615680 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 232972615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445334368416).

232972615680 is an abundant number, since it is smaller than the sum of its proper divisors (657696121152).

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

232972615680 is an frugal number, since it uses more digits than its factorization.

232972615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 232972615680 in words is "two hundred thirty-two billion, nine hundred seventy-two million, six hundred fifteen thousand, six hundred eighty".