576494964864 has 1536 divisors, whose sum is σ = 2258332876800. Its totient is φ = 136949170176.

The previous prime is 576494964853. The next prime is 576494964893. The reversal of 576494964864 is 468469494675.

576494964864 is a `hidden beast` number, since 5 + 7 + 6 + 494 + 96 + 48 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 576494964792 and 576494964801.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4539330369 + ... + 4539330495.

It is an arithmetic number, because the mean of its divisors is an integer number (1470268800).

Almost surely, 2^576494964864 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 576494964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129166438400).

576494964864 is an abundant number, since it is smaller than the sum of its proper divisors (1681837911936).

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

576494964864 is a wasteful number, since it uses less digits than its factorization.

576494964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 576494964864 in words is "five hundred seventy-six billion, four hundred ninety-four million, nine hundred sixty-four thousand, eight hundred sixty-four".