27882084672 has 336 divisors, whose sum is σ = 89094484752. Its totient is φ = 8281128960.

The previous prime is 27882084619. The next prime is 27882084683. The reversal of 27882084672 is 27648028872.

It can be written as a sum of positive squares in 8 ways, for example, as 704583936 + 27177500736 = 26544^2 + 164856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43497472 + ... + 43498112.

It is an arithmetic number, because the mean of its divisors is an integer number (265162157).

Almost surely, 2^27882084672 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 27882084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44547242376).

27882084672 is an abundant number, since it is smaller than the sum of its proper divisors (61212400080).

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

27882084672 is a wasteful number, since it uses less digits than its factorization.

27882084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 27882084672 in words is "twenty-seven billion, eight hundred eighty-two million, eighty-four thousand, six hundred seventy-two".