564101640 has 96 divisors (see below), whose sum is σ = 1929844800. Its totient is φ = 142508160.

The previous prime is 564101627. The next prime is 564101641. The reversal of 564101640 is 46101465.

564101640 is a `hidden beast` number, since 5 + 6 + 4 + 10 + 1 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (564101641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34396 + ... + 48075.

It is an arithmetic number, because the mean of its divisors is an integer number (20102550).

Almost surely, 2^564101640 is an apocalyptic number.

It is an amenable number.

564101640 is an abundant number, since it is smaller than the sum of its proper divisors (1365743160).

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

564101640 is a wasteful number, since it uses less digits than its factorization.

564101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82507 (or 82500 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 564101640 is about 23750.8239857063. The cubic root of 564101640 is about 826.2645510776.

The spelling of 564101640 in words is "five hundred sixty-four million, one hundred one thousand, six hundred forty".