27975704976 has 120 divisors (see below), whose sum is σ = 80905893120. Its totient is φ = 9014688000.

The previous prime is 27975704881. The next prime is 27975704983. The reversal of 27975704976 is 67940757972.

27975704976 is a `hidden beast` number, since 2 + 7 + 9 + 75 + 70 + 497 + 6 = 666.

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, 4947751 + ... + 4953401.

It is an arithmetic number, because the mean of its divisors is an integer number (674215776).

Almost surely, 2^27975704976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27975704976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40452946560).

27975704976 is an abundant number, since it is smaller than the sum of its proper divisors (52930188144).

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

27975704976 is a wasteful number, since it uses less digits than its factorization.

27975704976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 63.

The spelling of 27975704976 in words is "twenty-seven billion, nine hundred seventy-five million, seven hundred four thousand, nine hundred seventy-six".