27639693672 has 32 divisors (see below), whose sum is σ = 69127279200. Its totient is φ = 9209491904.

The previous prime is 27639693671. The next prime is 27639693691.

27639693672 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27639693671) 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 7 ways as a sum of consecutive naturals, for example, 173022 + ... + 291917.

It is an arithmetic number, because the mean of its divisors is an integer number (2160227475).

Almost surely, 2^27639693672 is an apocalyptic number.

It is an amenable number.

27639693672 is an abundant number, since it is smaller than the sum of its proper divisors (41487585528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27639693672 is a wasteful number, since it uses less digits than its factorization.

27639693672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467425 (or 467421 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 60.

The spelling of 27639693672 in words is "twenty-seven billion, six hundred thirty-nine million, six hundred ninety-three thousand, six hundred seventy-two".