642540712167 has 48 divisors (see below), whose sum is σ = 959611030560. Its totient is φ = 414030566400.

The previous prime is 642540712159. The next prime is 642540712181. The reversal of 642540712167 is 761217045246.

642540712167 is a `hidden beast` number, since 6 + 4 + 25 + 407 + 1 + 216 + 7 = 666.

642540712167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642540712167 - 2³ = 642540712159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642540712147) 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, 25718992 + ... + 25743962.

It is an arithmetic number, because the mean of its divisors is an integer number (19991896470).

Almost surely, 2^642540712167 is an apocalyptic number.

642540712167 is a deficient number, since it is larger than the sum of its proper divisors (317070318393).

642540712167 is a wasteful number, since it uses less digits than its factorization.

642540712167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25664 (or 25661 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 642540712167 in words is "six hundred forty-two billion, five hundred forty million, seven hundred twelve thousand, one hundred sixty-seven".