564755505634107 has 8 divisors (see below), whose sum is σ = 836674823161680. Its totient is φ = 376503670422720.

The previous prime is 564755505634081. The next prime is 564755505634153. The reversal of 564755505634107 is 701436505557465.

564755505634107 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 5 + 5 + 50 + 563 + 4 + 10 + 7 = 666.

It is not a de Polignac number, because 564755505634107 - 2⁶ = 564755505634043 is a prime.

It is a super-2 number, since 2×564755505634107² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564755505734107) 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, 10458435289494 + ... + 10458435289547.

It is an arithmetic number, because the mean of its divisors is an integer number (104584352895210).

Almost surely, 2^{564755505634107} is an apocalyptic number.

564755505634107 is a deficient number, since it is larger than the sum of its proper divisors (271919317527573).

564755505634107 is a wasteful number, since it uses less digits than its factorization.

564755505634107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20916870579050 (or 20916870579044 counting only the distinct ones).

The product of its (nonzero) digits is 264600000, while the sum is 63.

The spelling of 564755505634107 in words is "five hundred sixty-four trillion, seven hundred fifty-five billion, five hundred five million, six hundred thirty-four thousand, one hundred seven".