27430656768 has 108 divisors (see below), whose sum is σ = 79857894480. Its totient is φ = 9054701568.

The previous prime is 27430656767. The next prime is 27430656787. The reversal of 27430656768 is 86765603472.

27430656768 is a `hidden beast` number, since 2 + 74 + 3 + 0 + 6 + 567 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27430656767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179518 + ... + 295106.

Almost surely, 2^27430656768 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 27430656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39928947240).

27430656768 is an abundant number, since it is smaller than the sum of its proper divisors (52427237712).

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

27430656768 is a wasteful number, since it uses less digits than its factorization.

27430656768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115714 (or 115697 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 27430656768 in words is "twenty-seven billion, four hundred thirty million, six hundred fifty-six thousand, seven hundred sixty-eight".