27644715289 has 9 divisors (see below), whose sum is σ = 28902916063. Its totient is φ = 26439113272.

The previous prime is 27644715283. The next prime is 27644715311. The reversal of 27644715289 is 98251744672.

The square root of 27644715289 is 166267.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27583562889 + 61152400 = 166083^2 + 7820^2 .

It is not a de Polignac number, because 27644715289 - 2²⁷ = 27510497561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27644715283) 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 8 ways as a sum of consecutive naturals, for example, 3820527 + ... + 3827755.

Almost surely, 2^27644715289 is an apocalyptic number.

27644715289 is the 166267-th square number.

27644715289 is the 83134-th centered octagonal number.

It is an amenable number.

27644715289 is a deficient number, since it is larger than the sum of its proper divisors (1258200774).

27644715289 is an frugal number, since it uses more digits than its factorization.

27644715289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14504 (or 7252 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 55.

The spelling of 27644715289 in words is "twenty-seven billion, six hundred forty-four million, seven hundred fifteen thousand, two hundred eighty-nine".