232709760000 has 825 divisors, whose sum is σ = 881522243679. Its totient is φ = 61129728000.

The previous prime is 232709759993. The next prime is 232709760011. The reversal of 232709760000 is 67907232.

The square root of 232709760000 is 482400.

It is a perfect power (a square), and thus also a powerful number.

232709760000 is a `hidden beast` number, since 23 + 27 + 0 + 9 + 7 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18244445184 + 214465314816 = 135072^2 + 463104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3473279967 + ... + 3473280033.

Almost surely, 2^232709760000 is an apocalyptic number.

232709760000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

232709760000 is the 482400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232709760000

232709760000 is an abundant number, since it is smaller than the sum of its proper divisors (648812483679).

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

232709760000 is an frugal number, since it uses more digits than its factorization.

232709760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Multiplying 232709760000 by its sum of digits (36), we get a square (8377551360000 = 2894400²).

232709760000 divided by its sum of digits (36) gives a square (6464160000 = 80400²).

The spelling of 232709760000 in words is "two hundred thirty-two billion, seven hundred nine million, seven hundred sixty thousand".