27691856640 has 288 divisors, whose sum is σ = 112306844160. Its totient is φ = 6329511936.

The previous prime is 27691856627. The next prime is 27691856657. The reversal of 27691856640 is 4665819672.

27691856640 is a `hidden beast` number, since 2 + 7 + 69 + 18 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 184687 + ... + 299153.

It is an arithmetic number, because the mean of its divisors is an integer number (389954320).

Almost surely, 2^27691856640 is an apocalyptic number.

27691856640 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 27691856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56153422080).

27691856640 is an abundant number, since it is smaller than the sum of its proper divisors (84614987520).

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

27691856640 is a wasteful number, since it uses less digits than its factorization.

27691856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114504 (or 114484 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27691856640 in words is "twenty-seven billion, six hundred ninety-one million, eight hundred fifty-six thousand, six hundred forty".