576117008964 has 288 divisors, whose sum is σ = 1767461369856. Its totient is φ = 154726225920.

The previous prime is 576117008963. The next prime is 576117008969. The reversal of 576117008964 is 469800711675.

576117008964 is a `hidden beast` number, since 576 + 1 + 1 + 7 + 0 + 0 + 8 + 9 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 576117008964.

It is not an unprimeable number, because it can be changed into a prime (576117008963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218804992 + ... + 218807624.

Almost surely, 2^576117008964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576117008964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883730684928).

576117008964 is an abundant number, since it is smaller than the sum of its proper divisors (1191344360892).

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

576117008964 is a wasteful number, since it uses less digits than its factorization.

576117008964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 576117008964 in words is "five hundred seventy-six billion, one hundred seventeen million, eight thousand, nine hundred sixty-four".