27814567968 has 240 divisors, whose sum is σ = 92119991040. Its totient is φ = 8156505600.

The previous prime is 27814567961. The next prime is 27814568039. The reversal of 27814567968 is 86976541872.

27814567968 is a `hidden beast` number, since 2 + 7 + 8 + 1 + 4 + 567 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (27814567961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 868138 + ... + 899606.

It is an arithmetic number, because the mean of its divisors is an integer number (383833296).

Almost surely, 2^27814567968 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 27814567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46059995520).

27814567968 is an abundant number, since it is smaller than the sum of its proper divisors (64305423072).

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

27814567968 is a wasteful number, since it uses less digits than its factorization.

27814567968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31533 (or 31516 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 27814567968 in words is "twenty-seven billion, eight hundred fourteen million, five hundred sixty-seven thousand, nine hundred sixty-eight".