27726675680 has 144 divisors (see below), whose sum is σ = 75791071440. Its totient is φ = 9551646720.

The previous prime is 27726675679. The next prime is 27726675707. The reversal of 27726675680 is 8657662772.

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 23 ways as a sum of consecutive naturals, for example, 330152 + ... + 405528.

It is an arithmetic number, because the mean of its divisors is an integer number (526326885).

Almost surely, 2^27726675680 is an apocalyptic number.

27726675680 is a gapful number since it is divisible by the number (20) 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 27726675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37895535720).

27726675680 is an abundant number, since it is smaller than the sum of its proper divisors (48064395760).

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

27726675680 is a wasteful number, since it uses less digits than its factorization.

27726675680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75433 (or 75414 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 27726675680 in words is "twenty-seven billion, seven hundred twenty-six million, six hundred seventy-five thousand, six hundred eighty".