27657120673 has 16 divisors (see below), whose sum is σ = 35137586176. Its totient is φ = 21176665920.

The previous prime is 27657120653. The next prime is 27657120709. The reversal of 27657120673 is 37602175672.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 27657120673 - 2¹⁷ = 27656989601 is a prime.

It is a super-3 number, since 3×27657120673³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (27657120653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4899186 + ... + 4904827.

It is an arithmetic number, because the mean of its divisors is an integer number (2196099136).

Almost surely, 2^27657120673 is an apocalyptic number.

It is an amenable number.

27657120673 is a deficient number, since it is larger than the sum of its proper divisors (7480465503).

27657120673 is a wasteful number, since it uses less digits than its factorization.

27657120673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9804064.

The product of its (nonzero) digits is 740880, while the sum is 46.

The spelling of 27657120673 in words is "twenty-seven billion, six hundred fifty-seven million, one hundred twenty thousand, six hundred seventy-three".