27968597568 has 280 divisors, whose sum is σ = 85256607744. Its totient is φ = 9061632000.

The previous prime is 27968597537. The next prime is 27968597603. The reversal of 27968597568 is 86579586972.

27968597568 is a `hidden beast` number, since 2 + 7 + 9 + 6 + 8 + 59 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27968597496 and 27968597505.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46536468 + ... + 46537068.

Almost surely, 2^27968597568 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 27968597568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42628303872).

27968597568 is an abundant number, since it is smaller than the sum of its proper divisors (57288010176).

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

27968597568 is a wasteful number, since it uses less digits than its factorization.

27968597568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 27968597568 in words is "twenty-seven billion, nine hundred sixty-eight million, five hundred ninety-seven thousand, five hundred sixty-eight".