232713676800 has 864 divisors, whose sum is σ = 939157390080. Its totient is φ = 54558720000.

The previous prime is 232713676799. The next prime is 232713676843. The reversal of 232713676800 is 8676317232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157132060 + ... + 157133540.

It is an arithmetic number, because the mean of its divisors is an integer number (1086987720).

Almost surely, 2^232713676800 is an apocalyptic number.

232713676800 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 232713676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469578695040).

232713676800 is an abundant number, since it is smaller than the sum of its proper divisors (706443713280).

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

232713676800 is a wasteful number, since it uses less digits than its factorization.

232713676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 232713676800 in words is "two hundred thirty-two billion, seven hundred thirteen million, six hundred seventy-six thousand, eight hundred".