27667427505 has 64 divisors (see below), whose sum is σ = 47938867200. Its totient is φ = 13579937280.

The previous prime is 27667427477. The next prime is 27667427527. The reversal of 27667427505 is 50572476672.

It is a happy number.

It is not a de Polignac number, because 27667427505 - 2¹² = 27667423409 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2787762 + ... + 2797668.

It is an arithmetic number, because the mean of its divisors is an integer number (749044800).

Almost surely, 2^27667427505 is an apocalyptic number.

It is an amenable number.

27667427505 is a deficient number, since it is larger than the sum of its proper divisors (20271439695).

27667427505 is a wasteful number, since it uses less digits than its factorization.

27667427505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214.

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 27667427505 in words is "twenty-seven billion, six hundred sixty-seven million, four hundred twenty-seven thousand, five hundred five".