27430368768 has 640 divisors, whose sum is σ = 95670305280. Its totient is φ = 7763558400.

The previous prime is 27430368743. The next prime is 27430368829. The reversal of 27430368768 is 86786303472.

27430368768 is a `hidden beast` number, since 274 + 3 + 0 + 368 + 7 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209392063 + ... + 209392193.

It is an arithmetic number, because the mean of its divisors is an integer number (149484852).

Almost surely, 2^27430368768 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 27430368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47835152640).

27430368768 is an abundant number, since it is smaller than the sum of its proper divisors (68239936512).

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

27430368768 is an equidigital number, since it uses as much as digits as its factorization.

27430368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 164 counting only the distinct ones).

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

The spelling of 27430368768 in words is "twenty-seven billion, four hundred thirty million, three hundred sixty-eight thousand, seven hundred sixty-eight".