564778404107766 has 16 divisors (see below), whose sum is σ = 1255063120239600. Its totient is φ = 188259468035904.

The previous prime is 564778404107761. The next prime is 564778404107791. The reversal of 564778404107766 is 667701404877465.

564778404107766 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 7 + 84 + 0 + 410 + 77 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 564778404107694 and 564778404107703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564778404107761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5229429667611 + ... + 5229429667718.

It is an arithmetic number, because the mean of its divisors is an integer number (78441445014975).

Almost surely, 2^{564778404107766} is an apocalyptic number.

564778404107766 is an abundant number, since it is smaller than the sum of its proper divisors (690284716131834).

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

564778404107766 is a wasteful number, since it uses less digits than its factorization.

564778404107766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10458859335340 (or 10458859335334 counting only the distinct ones).

The product of its (nonzero) digits is 1327656960, while the sum is 72.

The spelling of 564778404107766 in words is "five hundred sixty-four trillion, seven hundred seventy-eight billion, four hundred four million, one hundred seven thousand, seven hundred sixty-six".