27676067672 has 48 divisors (see below), whose sum is σ = 57603949200. Its totient is φ = 12455432000.

The previous prime is 27676067663. The next prime is 27676067723.

27676067672 is nontrivially palindromic in base 10.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 43772 + ... + 239307.

It is an arithmetic number, because the mean of its divisors is an integer number (1200082275).

Almost surely, 2^27676067672 is an apocalyptic number.

27676067672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27676067672 is an abundant number, since it is smaller than the sum of its proper divisors (29927881528).

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

27676067672 is a wasteful number, since it uses less digits than its factorization.

27676067672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283208 (or 283193 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 56.

The spelling of 27676067672 in words is "twenty-seven billion, six hundred seventy-six million, sixty-seven thousand, six hundred seventy-two".