564064641 has 80 divisors (see below), whose sum is σ = 1029409920. Its totient is φ = 300464640.

The previous prime is 564064639. The next prime is 564064643. The reversal of 564064641 is 146460465.

564064641 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 6 + 4 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (564064639) and next prime (564064643).

It is not a de Polignac number, because 564064641 - 2¹ = 564064639 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 564064596 and 564064605.

It is not an unprimeable number, because it can be changed into a prime (564064643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1339611 + ... + 1340031.

It is an arithmetic number, because the mean of its divisors is an integer number (12867624).

Almost surely, 2^564064641 is an apocalyptic number.

564064641 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

564064641 is a deficient number, since it is larger than the sum of its proper divisors (465345279).

564064641 is a wasteful number, since it uses less digits than its factorization.

564064641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564064641 is about 23750.0450736414. The cubic root of 564064641 is about 826.2464859936.

The spelling of 564064641 in words is "five hundred sixty-four million, sixty-four thousand, six hundred forty-one".