576864000 has 216 divisors, whose sum is σ = 2076761232. Its totient is φ = 153753600.

The previous prime is 576863957. The next prime is 576864047. The reversal of 576864000 is 468675.

It is a happy number.

576864000 is a `hidden beast` number, since 5 + 7 + 6 + 8 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286999 + ... + 289001.

Almost surely, 2^576864000 is an apocalyptic number.

576864000 is a gapful number since it is divisible by the number (50) 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 576864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038380616).

576864000 is an abundant number, since it is smaller than the sum of its proper divisors (1499897232).

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

576864000 is a wasteful number, since it uses less digits than its factorization.

576864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 576864000 is about 24017.9932550578. The cubic root of 576864000 is about 832.4493381502.

The spelling of 576864000 in words is "five hundred seventy-six million, eight hundred sixty-four thousand".