564529827904 has 63 divisors (see below), whose sum is σ = 1303232153373. Its totient is φ = 241923322368.

The previous prime is 564529827899. The next prime is 564529827947. The reversal of 564529827904 is 409728925465.

The square root of 564529827904 is 751352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 211636801600 + 352893026304 = 460040^2 + 594048^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 42069004 + ... + 42082420.

Almost surely, 2^564529827904 is an apocalyptic number.

564529827904 is the 751352-nd square number.

It is an amenable number.

564529827904 is an abundant number, since it is smaller than the sum of its proper divisors (738702325469).

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

564529827904 is an frugal number, since it uses more digits than its factorization.

564529827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26860 (or 13426 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 564529827904 in words is "five hundred sixty-four billion, five hundred twenty-nine million, eight hundred twenty-seven thousand, nine hundred four".