564782210406117 has 80 divisors (see below), whose sum is σ = 932886754525440. Its totient is φ = 337660989811200.

The previous prime is 564782210406109. The next prime is 564782210406277. The reversal of 564782210406117 is 711604012287465.

It is a happy number.

564782210406117 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 8 + 2 + 2 + 10 + 4 + 0 + 611 + 7 = 666.

It is not a de Polignac number, because 564782210406117 - 2³ = 564782210406109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564782210406017) 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 79 ways as a sum of consecutive naturals, for example, 25915473 + ... + 42440265.

It is an arithmetic number, because the mean of its divisors is an integer number (11661084431568).

Almost surely, 2^{564782210406117} is an apocalyptic number.

It is an amenable number.

564782210406117 is a deficient number, since it is larger than the sum of its proper divisors (368104544119323).

564782210406117 is a wasteful number, since it uses less digits than its factorization.

564782210406117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525336 (or 16525327 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 564782210406117 in words is "five hundred sixty-four trillion, seven hundred eighty-two billion, two hundred ten million, four hundred six thousand, one hundred seventeen".