27687031680 has 256 divisors, whose sum is σ = 110029570560. Its totient is φ = 5753118720.

The previous prime is 27687031679. The next prime is 27687031721. The reversal of 27687031680 is 8613078672.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54202 + ... + 241478.

It is an arithmetic number, because the mean of its divisors is an integer number (429803010).

Almost surely, 2^27687031680 is an apocalyptic number.

27687031680 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 27687031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55014785280).

27687031680 is an abundant number, since it is smaller than the sum of its proper divisors (82342538880).

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

27687031680 is a wasteful number, since it uses less digits than its factorization.

27687031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187317 (or 187305 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 27687031680 in words is "twenty-seven billion, six hundred eighty-seven million, thirty-one thousand, six hundred eighty".