27842642007 has 32 divisors (see below), whose sum is σ = 39921944832. Its totient is φ = 17197069824.

The previous prime is 27842641999. The next prime is 27842642081. The reversal of 27842642007 is 70024624872.

It is not a de Polignac number, because 27842642007 - 2³ = 27842641999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27842642007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27842642407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9166293 + ... + 9169329.

It is an arithmetic number, because the mean of its divisors is an integer number (1247560776).

Almost surely, 2^27842642007 is an apocalyptic number.

27842642007 is a deficient number, since it is larger than the sum of its proper divisors (12079302825).

27842642007 is a wasteful number, since it uses less digits than its factorization.

27842642007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807.

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 27842642007 in words is "twenty-seven billion, eight hundred forty-two million, six hundred forty-two thousand, seven".