27309568647168 has 672 divisors, whose sum is σ = 86089042391040. Its totient is φ = 8310006743040.

The previous prime is 27309568647157. The next prime is 27309568647173. The reversal of 27309568647168 is 86174686590372.

27309568647168 is a `hidden beast` number, since 2 + 7 + 3 + 0 + 9 + 568 + 6 + 47 + 16 + 8 = 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 = 27309568647096 and 27309568647105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11160427321 + ... + 11160429767.

It is a 1-persistent number, because it is pandigital, but 2⋅27309568647168 = 54619137294336 is not.

Almost surely, 2^{27309568647168} 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 27309568647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43044521195520).

27309568647168 is an abundant number, since it is smaller than the sum of its proper divisors (58779473743872).

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

27309568647168 is a wasteful number, since it uses less digits than its factorization.

27309568647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 27309568647168 in words is "twenty-seven trillion, three hundred nine billion, five hundred sixty-eight million, six hundred forty-seven thousand, one hundred sixty-eight".