564766667465 has 32 divisors (see below), whose sum is σ = 909945743616. Its totient is φ = 324980616960.

The previous prime is 564766667449. The next prime is 564766667467.

564766667465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564766667465 - 2⁴ = 564766667449 is a prime.

It is a super-2 number, since 2×564766667465² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 564766667395 and 564766667404.

It is not an unprimeable number, because it can be changed into a prime (564766667467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56415242 + ... + 56425251.

It is an arithmetic number, because the mean of its divisors is an integer number (28435804488).

Almost surely, 2^564766667465 is an apocalyptic number.

564766667465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564766667465 is a deficient number, since it is larger than the sum of its proper divisors (345179076151).

564766667465 is a wasteful number, since it uses less digits than its factorization.

564766667465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112840529.

The product of its digits is 914457600, while the sum is 68.

The spelling of 564766667465 in words is "five hundred sixty-four billion, seven hundred sixty-six million, six hundred sixty-seven thousand, four hundred sixty-five".