27668644686672 has 160 divisors (see below), whose sum is σ = 78303600820224. Its totient is φ = 8349201369600.

The previous prime is 27668644686587. The next prime is 27668644686673.

27668644686672 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27668644686673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131080897 + ... + 131291807.

Almost surely, 2^{27668644686672} is an apocalyptic number.

27668644686672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27668644686672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39151800410112).

27668644686672 is an abundant number, since it is smaller than the sum of its proper divisors (50634956133552).

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

27668644686672 is a wasteful number, since it uses less digits than its factorization.

27668644686672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211977 (or 211971 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 78.

The spelling of 27668644686672 in words is "twenty-seven trillion, six hundred sixty-eight billion, six hundred forty-four million, six hundred eighty-six thousand, six hundred seventy-two".