564016320 has 336 divisors, whose sum is σ = 2247156288. Its totient is φ = 127180800.

The previous prime is 564016307. The next prime is 564016333. The reversal of 564016320 is 23610465.

564016320 is a `hidden beast` number, since 5 + 640 + 16 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564016307) and next prime (564016333).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×564016320² = 636228818452684800, which contains 22 as substring.

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, 2036022 + ... + 2036298.

Almost surely, 2^564016320 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 564016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123578144).

564016320 is an abundant number, since it is smaller than the sum of its proper divisors (1683139968).

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

564016320 is a wasteful number, since it uses less digits than its factorization.

564016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 564016320 is about 23749.0277695741. The cubic root of 564016320 is about 826.2228916549. Note that the first 3 decimals are identical.

Adding to 564016320 its reverse (23610465), we get a palindrome (587626785).

The spelling of 564016320 in words is "five hundred sixty-four million, sixteen thousand, three hundred twenty".