27067834368 has 224 divisors, whose sum is σ = 81744616800. Its totient is φ = 8848539648.

The previous prime is 27067834363. The next prime is 27067834373. The reversal of 27067834368 is 86343876072.

27067834368 is a `hidden beast` number, since 2 + 70 + 67 + 83 + 436 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (27067834363) and next prime (27067834373).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27067834363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11721598 + ... + 11723906.

It is an arithmetic number, because the mean of its divisors is an integer number (364931325).

Almost surely, 2^27067834368 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 27067834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40872308400).

27067834368 is an abundant number, since it is smaller than the sum of its proper divisors (54676782432).

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

27067834368 is an equidigital number, since it uses as much as digits as its factorization.

27067834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2367 counting only the distinct ones).

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

The spelling of 27067834368 in words is "twenty-seven billion, sixty-seven million, eight hundred thirty-four thousand, three hundred sixty-eight".