575345664 has 132 divisors (see below), whose sum is σ = 1675854336. Its totient is φ = 190107648.

The previous prime is 575345657. The next prime is 575345677. The reversal of 575345664 is 466543575.

575345664 is a `hidden beast` number, since 5 + 7 + 534 + 56 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1502017 + ... + 1502399.

Almost surely, 2^575345664 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 575345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837927168).

575345664 is an abundant number, since it is smaller than the sum of its proper divisors (1100508672).

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

575345664 is a wasteful number, since it uses less digits than its factorization.

575345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 575345664 is about 23986.3641263114. The cubic root of 575345664 is about 831.7183464784.

The spelling of 575345664 in words is "five hundred seventy-five million, three hundred forty-five thousand, six hundred sixty-four".