230612076720 has 120 divisors (see below), whose sum is σ = 774916771200. Its totient is φ = 61461255168.

The previous prime is 230612076697. The next prime is 230612076731. The reversal of 230612076720 is 27670216032.

It is a happy number.

230612076720 is a `hidden beast` number, since 2 + 30 + 612 + 0 + 7 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×230612076720² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1175436 + ... + 1357524.

It is an arithmetic number, because the mean of its divisors is an integer number (6457639760).

Almost surely, 2^230612076720 is an apocalyptic number.

230612076720 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 230612076720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387458385600).

230612076720 is an abundant number, since it is smaller than the sum of its proper divisors (544304694480).

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

230612076720 is a wasteful number, since it uses less digits than its factorization.

230612076720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183867 (or 183858 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 230612076720 in words is "two hundred thirty billion, six hundred twelve million, seventy-six thousand, seven hundred twenty".