27966560677 has 16 divisors (see below), whose sum is σ = 31048012800. Its totient is φ = 24975558640.

The previous prime is 27966560603. The next prime is 27966560737. The reversal of 27966560677 is 77606566972.

It is a cyclic number.

It is not a de Polignac number, because 27966560677 - 2¹¹ = 27966558629 is a prime.

It is a super-3 number, since 3×27966560677³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27966560077) 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, 950574 + ... + 979552.

It is an arithmetic number, because the mean of its divisors is an integer number (1940500800).

Almost surely, 2^27966560677 is an apocalyptic number.

It is an amenable number.

27966560677 is a deficient number, since it is larger than the sum of its proper divisors (3081452123).

27966560677 is a wasteful number, since it uses less digits than its factorization.

27966560677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30536.

The product of its (nonzero) digits is 40007520, while the sum is 61.

The spelling of 27966560677 in words is "twenty-seven billion, nine hundred sixty-six million, five hundred sixty thousand, six hundred seventy-seven".