565697664 has 384 divisors, whose sum is σ = 2004912000. Its totient is φ = 149667840.

The previous prime is 565697609. The next prime is 565697677. The reversal of 565697664 is 466796565.

565697664 is a `hidden beast` number, since 5 + 6 + 569 + 76 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 565697664.

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, 9588067 + ... + 9588125.

It is an arithmetic number, because the mean of its divisors is an integer number (5221125).

Almost surely, 2^565697664 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 565697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002456000).

565697664 is an abundant number, since it is smaller than the sum of its proper divisors (1439214336).

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

565697664 is a wasteful number, since it uses less digits than its factorization.

565697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 565697664 is about 23784.3995930105. The cubic root of 565697664 is about 827.0430728906.

The spelling of 565697664 in words is "five hundred sixty-five million, six hundred ninety-seven thousand, six hundred sixty-four".