642317107005 has 48 divisors (see below), whose sum is σ = 1273082289024. Its totient is φ = 293473134720.

The previous prime is 642317106971. The next prime is 642317107009. The reversal of 642317107005 is 500701713246.

It is a happy number.

642317107005 is a `hidden beast` number, since 642 + 3 + 1 + 7 + 1 + 0 + 7 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 642317107005 - 2⁸ = 642317106749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642317107009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42015 + ... + 1134195.

It is an arithmetic number, because the mean of its divisors is an integer number (26522547688).

Almost surely, 2^642317107005 is an apocalyptic number.

It is an amenable number.

642317107005 is a deficient number, since it is larger than the sum of its proper divisors (630765182019).

642317107005 is a wasteful number, since it uses less digits than its factorization.

642317107005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094066 (or 1094063 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 642317107005 in words is "six hundred forty-two billion, three hundred seventeen million, one hundred seven thousand, five".