27734317667 has 16 divisors (see below), whose sum is σ = 34245777600. Its totient is φ = 22373898624.

The previous prime is 27734317643. The next prime is 27734317711. The reversal of 27734317667 is 76671343772.

It is not a de Polignac number, because 27734317667 - 2²⁴ = 27717540451 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27734317067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372348 + ... + 2384009.

It is an arithmetic number, because the mean of its divisors is an integer number (2140361100).

Almost surely, 2^27734317667 is an apocalyptic number.

27734317667 is a deficient number, since it is larger than the sum of its proper divisors (6511459933).

27734317667 is an equidigital number, since it uses as much as digits as its factorization.

27734317667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756395 (or 4756381 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 53.

The spelling of 27734317667 in words is "twenty-seven billion, seven hundred thirty-four million, three hundred seventeen thousand, six hundred sixty-seven".