576785664 has 432 divisors, whose sum is σ = 2153067840. Its totient is φ = 150958080.

The previous prime is 576785623. The next prime is 576785681. The reversal of 576785664 is 466587675.

576785664 is a `hidden beast` number, since 5 + 7 + 6 + 78 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 576785664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4402879 + ... + 4403009.

Almost surely, 2^576785664 is an apocalyptic number.

576785664 is a gapful number since it is divisible by the number (54) 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 576785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076533920).

576785664 is an abundant number, since it is smaller than the sum of its proper divisors (1576282176).

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

576785664 is a wasteful number, since it uses less digits than its factorization.

576785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 576785664 is about 24016.3624223153. The cubic root of 576785664 is about 832.4116552628.

Adding to 576785664 its product of digits (8467200), we get a square (585252864 = 24192²).

The spelling of 576785664 in words is "five hundred seventy-six million, seven hundred eighty-five thousand, six hundred sixty-four".