27140136642 has 64 divisors (see below), whose sum is σ = 64033943040. Its totient is φ = 8491246848.

The previous prime is 27140136637. The next prime is 27140136677. The reversal of 27140136642 is 24663104172.

27140136642 is a `hidden beast` number, since 2 + 7 + 1 + 4 + 0 + 1 + 3 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27140136597 and 27140136606.

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, 296628 + ... + 377184.

It is an arithmetic number, because the mean of its divisors is an integer number (1000530360).

Almost surely, 2^27140136642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27140136642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32016971520).

27140136642 is an abundant number, since it is smaller than the sum of its proper divisors (36893806398).

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

27140136642 is a wasteful number, since it uses less digits than its factorization.

27140136642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80952 (or 80946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27140136642 in words is "twenty-seven billion, one hundred forty million, one hundred thirty-six thousand, six hundred forty-two".