27730065168 has 240 divisors, whose sum is σ = 88833064320. Its totient is φ = 7999451136.

The previous prime is 27730065133. The next prime is 27730065169. The reversal of 27730065168 is 86156003772.

27730065168 is a `hidden beast` number, since 277 + 300 + 65 + 16 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27730065169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9004653 + ... + 9007731.

It is an arithmetic number, because the mean of its divisors is an integer number (370137768).

Almost surely, 2^27730065168 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 27730065168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44416532160).

27730065168 is an abundant number, since it is smaller than the sum of its proper divisors (61102999152).

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

27730065168 is a wasteful number, since it uses less digits than its factorization.

27730065168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 27730065168 in words is "twenty-seven billion, seven hundred thirty million, sixty-five thousand, one hundred sixty-eight".