27613667617 has 8 divisors (see below), whose sum is σ = 28375903400. Its totient is φ = 26852269824.

The previous prime is 27613667597. The next prime is 27613667639. The reversal of 27613667617 is 71676631672.

It can be written as a sum of positive squares in 4 ways, for example, as 23048097856 + 4565569761 = 151816^2 + 67569^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27613667617 - 2²⁷ = 27479449889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27613667657) 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 7 ways as a sum of consecutive naturals, for example, 142392 + ... + 274777.

It is an arithmetic number, because the mean of its divisors is an integer number (3546987925).

Almost surely, 2^27613667617 is an apocalyptic number.

It is an amenable number.

27613667617 is a deficient number, since it is larger than the sum of its proper divisors (762235783).

27613667617 is a wasteful number, since it uses less digits than its factorization.

27613667617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418995.

The product of its digits is 2667168, while the sum is 52.

The spelling of 27613667617 in words is "twenty-seven billion, six hundred thirteen million, six hundred sixty-seven thousand, six hundred seventeen".