6564966806777 has 2 divisors, whose sum is σ = 6564966806778. Its totient is φ = 6564966806776.

The previous prime is 6564966806677. The next prime is 6564966806807. The reversal of 6564966806777 is 7776086694656.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5643019254016 + 921947552761 = 2375504^2 + 960181^2 .

It is a cyclic number.

It is not a de Polignac number, because 6564966806777 - 2²⁰ = 6564965758201 is a prime.

It is a super-3 number, since 3×6564966806777³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6564966806698 and 6564966806707.

It is not a weakly prime, because it can be changed into another prime (6564966806677) 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 as a sum of consecutive naturals, namely, 3282483403388 + 3282483403389.

It is an arithmetic number, because the mean of its divisors is an integer number (3282483403389).

Almost surely, 2^{6564966806777} is an apocalyptic number.

It is an amenable number.

6564966806777 is a deficient number, since it is larger than the sum of its proper divisors (1).

6564966806777 is an equidigital number, since it uses as much as digits as its factorization.

6564966806777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840721920, while the sum is 77.

The spelling of 6564966806777 in words is "six trillion, five hundred sixty-four billion, nine hundred sixty-six million, eight hundred six thousand, seven hundred seventy-seven".