27635672765 has 16 divisors (see below), whose sum is σ = 34238046720. Its totient is φ = 21391940160.

The previous prime is 27635672761. The next prime is 27635672773. The reversal of 27635672765 is 56727653672.

It is not a de Polignac number, because 27635672765 - 2² = 27635672761 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 27635672765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27635672761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428326 + ... + 1447544.

It is an arithmetic number, because the mean of its divisors is an integer number (2139877920).

Almost surely, 2^27635672765 is an apocalyptic number.

It is an amenable number.

27635672765 is a deficient number, since it is larger than the sum of its proper divisors (6602373955).

27635672765 is a wasteful number, since it uses less digits than its factorization.

27635672765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28532.

The product of its digits is 22226400, while the sum is 56.

The spelling of 27635672765 in words is "twenty-seven billion, six hundred thirty-five million, six hundred seventy-two thousand, seven hundred sixty-five".