27034415681 has 24 divisors (see below), whose sum is σ = 33881659560. Its totient is φ = 21380792832.

The previous prime is 27034415669. The next prime is 27034415687. The reversal of 27034415681 is 18651443072.

It can be written as a sum of positive squares in 4 ways, for example, as 5312077456 + 21722338225 = 72884^2 + 147385^2 .

It is not a de Polignac number, because 27034415681 - 2¹⁸ = 27034153537 is a prime.

It is a super-2 number, since 2×27034415681² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27034415687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1768985 + ... + 1784201.

It is an arithmetic number, because the mean of its divisors is an integer number (1411735815).

Almost surely, 2^27034415681 is an apocalyptic number.

It is an amenable number.

27034415681 is a deficient number, since it is larger than the sum of its proper divisors (6847243879).

27034415681 is a wasteful number, since it uses less digits than its factorization.

27034415681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18033 (or 18026 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 27034415681 in words is "twenty-seven billion, thirty-four million, four hundred fifteen thousand, six hundred eighty-one".