27368138304 has 448 divisors, whose sum is σ = 89467822080. Its totient is φ = 8151736320.

The previous prime is 27368138297. The next prime is 27368138339. The reversal of 27368138304 is 40383186372.

27368138304 is a `hidden beast` number, since 273 + 68 + 13 + 8 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27368138304.

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, 151205094 + ... + 151205274.

It is an arithmetic number, because the mean of its divisors is an integer number (199704960).

Almost surely, 2^27368138304 is an apocalyptic number.

27368138304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27368138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44733911040).

27368138304 is an abundant number, since it is smaller than the sum of its proper divisors (62099683776).

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

27368138304 is a wasteful number, since it uses less digits than its factorization.

27368138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27368138304 in words is "twenty-seven billion, three hundred sixty-eight million, one hundred thirty-eight thousand, three hundred four".