27968274432 has 288 divisors, whose sum is σ = 94790908800. Its totient is φ = 7983857664.

The previous prime is 27968274407. The next prime is 27968274449. The reversal of 27968274432 is 23447286972.

27968274432 is a `hidden beast` number, since 279 + 68 + 274 + 43 + 2 = 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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24772044 + ... + 24773172.

It is an arithmetic number, because the mean of its divisors is an integer number (329135100).

Almost surely, 2^27968274432 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 27968274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47395454400).

27968274432 is an abundant number, since it is smaller than the sum of its proper divisors (66822634368).

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

27968274432 is an frugal number, since it uses more digits than its factorization.

27968274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1141 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 27968274432 in words is "twenty-seven billion, nine hundred sixty-eight million, two hundred seventy-four thousand, four hundred thirty-two".