27671324409 has 63 divisors (see below), whose sum is σ = 42601040157. Its totient is φ = 17965476000.

The previous prime is 27671324383. The next prime is 27671324419. The reversal of 27671324409 is 90442317672.

The square root of 27671324409 is 166347.

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

27671324409 is a `hidden beast` number, since 2 + 76 + 7 + 132 + 440 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8982009 + 27662342400 = 2997^2 + 166320^2 .

It is not a de Polignac number, because 27671324409 - 2²³ = 27662935801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27671324419) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 273973459 + ... + 273973559.

Almost surely, 2^27671324409 is an apocalyptic number.

27671324409 is the 166347-th square number.

27671324409 is the 83174-th centered octagonal number.

It is an amenable number.

27671324409 is a deficient number, since it is larger than the sum of its proper divisors (14929715748).

27671324409 is an frugal number, since it uses more digits than its factorization.

27671324409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 27671324409 in words is "twenty-seven billion, six hundred seventy-one million, three hundred twenty-four thousand, four hundred nine".