27137631264 has 48 divisors (see below), whose sum is σ = 71373143520. Its totient is φ = 9028497920.

The previous prime is 27137631247. The next prime is 27137631271. The reversal of 27137631264 is 46213673172.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221274 + ... + 321305.

It is an arithmetic number, because the mean of its divisors is an integer number (1486940490).

Almost surely, 2^27137631264 is an apocalyptic number.

27137631264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27137631264 is an abundant number, since it is smaller than the sum of its proper divisors (44235512256).

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

27137631264 is a wasteful number, since it uses less digits than its factorization.

27137631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543113 (or 543105 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The spelling of 27137631264 in words is "twenty-seven billion, one hundred thirty-seven million, six hundred thirty-one thousand, two hundred sixty-four".