66564344346566 has 32 divisors (see below), whose sum is σ = 109078455548160. Its totient is φ = 30213482096800.

The previous prime is 66564344346559. The next prime is 66564344346569.

66564344346566 is nontrivially palindromic in base 10.

66564344346566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66564344346496 and 66564344346505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66564344346569) 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 15 ways as a sum of consecutive naturals, for example, 105081095 + ... + 105712653.

It is an arithmetic number, because the mean of its divisors is an integer number (3408701735880).

Almost surely, 2^{66564344346566} is an apocalyptic number.

66564344346566 is a deficient number, since it is larger than the sum of its proper divisors (42514111201594).

66564344346566 is a wasteful number, since it uses less digits than its factorization.

66564344346566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638380.

The product of its digits is 2687385600, while the sum is 68.

The spelling of 66564344346566 in words is "sixty-six trillion, five hundred sixty-four billion, three hundred forty-four million, three hundred forty-six thousand, five hundred sixty-six".