27683457660 has 72 divisors (see below), whose sum is σ = 84307846896. Its totient is φ = 7352832000.

The previous prime is 27683457647. The next prime is 27683457709. The reversal of 27683457660 is 6675438672.

27683457660 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 3 + 4 + 576 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27683457597 and 27683457606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261189 + ... + 351548.

It is an arithmetic number, because the mean of its divisors is an integer number (1170942318).

Almost surely, 2^27683457660 is an apocalyptic number.

27683457660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27683457660 is an abundant number, since it is smaller than the sum of its proper divisors (56624389236).

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

27683457660 is a wasteful number, since it uses less digits than its factorization.

27683457660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613003 (or 612998 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 27683457660 in words is "twenty-seven billion, six hundred eighty-three million, four hundred fifty-seven thousand, six hundred sixty".