27068811264 has 432 divisors, whose sum is σ = 87936767100. Its totient is φ = 8012759040.

The previous prime is 27068811247. The next prime is 27068811271. The reversal of 27068811264 is 46211886072.

It can be written as a sum of positive squares in 2 ways, for example, as 23445734400 + 3623076864 = 153120^2 + 60192^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 118204302 + ... + 118204530.

Almost surely, 2^27068811264 is an apocalyptic number.

27068811264 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 27068811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43968383550).

27068811264 is an abundant number, since it is smaller than the sum of its proper divisors (60867955836).

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

27068811264 is a wasteful number, since it uses less digits than its factorization.

27068811264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27068811264 in words is "twenty-seven billion, sixty-eight million, eight hundred eleven thousand, two hundred sixty-four".