27966560676 has 96 divisors (see below), whose sum is σ = 68930459136. Its totient is φ = 8814624000.

The previous prime is 27966560603. The next prime is 27966560737. The reversal of 27966560676 is 67606566972.

It is a super-3 number, since 3×27966560676³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2766391 + ... + 2776481.

It is an arithmetic number, because the mean of its divisors is an integer number (718025616).

Almost surely, 2^27966560676 is an apocalyptic number.

It is an amenable number.

27966560676 is an abundant number, since it is smaller than the sum of its proper divisors (40963898460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27966560676 is a wasteful number, since it uses less digits than its factorization.

27966560676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 27966560676 in words is "twenty-seven billion, nine hundred sixty-six million, five hundred sixty thousand, six hundred seventy-six".