564287686782465 has 64 divisors (see below), whose sum is σ = 964852563628800. Its totient is φ = 280618944528384.

The previous prime is 564287686782403. The next prime is 564287686782503.

564287686782465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564287686782465 - 2⁶ = 564287686782401 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 238108054 + ... + 240466256.

It is an arithmetic number, because the mean of its divisors is an integer number (15075821306700).

Almost surely, 2^{564287686782465} is an apocalyptic number.

It is an amenable number.

564287686782465 is a deficient number, since it is larger than the sum of its proper divisors (400564876846335).

564287686782465 is a wasteful number, since it uses less digits than its factorization.

564287686782465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366946.

The product of its digits is 52022476800, while the sum is 84.

The spelling of 564287686782465 in words is "five hundred sixty-four trillion, two hundred eighty-seven billion, six hundred eighty-six million, seven hundred eighty-two thousand, four hundred sixty-five".