230764204800 has 1080 divisors, whose sum is σ = 896768134416. Its totient is φ = 58485473280.

The previous prime is 230764204789. The next prime is 230764204823. The reversal of 230764204800 is 8402467032.

230764204800 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 642 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 1016582287 + ... + 1016582513.

Almost surely, 2^230764204800 is an apocalyptic number.

230764204800 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 230764204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448384067208).

230764204800 is an abundant number, since it is smaller than the sum of its proper divisors (666003929616).

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

230764204800 is a wasteful number, since it uses less digits than its factorization.

230764204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 230764204800 in words is "two hundred thirty billion, seven hundred sixty-four million, two hundred four thousand, eight hundred".