564263064 has 64 divisors (see below), whose sum is σ = 1649904000. Its totient is φ = 178187040.

The previous prime is 564263053. The next prime is 564263093. The reversal of 564263064 is 460362465.

564263064 is a `hidden beast` number, since 5 + 642 + 6 + 3 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64642 + ... + 72849.

It is an arithmetic number, because the mean of its divisors is an integer number (25779750).

Almost surely, 2^564263064 is an apocalyptic number.

564263064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

564263064 is an abundant number, since it is smaller than the sum of its proper divisors (1085640936).

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

564263064 is a wasteful number, since it uses less digits than its factorization.

564263064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137525 (or 137515 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 564263064 is about 23754.2220247265. Note that the first 3 decimals coincide. The cubic root of 564263064 is about 826.3433585116.

The spelling of 564263064 in words is "five hundred sixty-four million, two hundred sixty-three thousand, sixty-four".