27232648268 has 96 divisors (see below), whose sum is σ = 56899584000. Its totient is φ = 11396719488.

The previous prime is 27232648189. The next prime is 27232648271. The reversal of 27232648268 is 86284623272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10133621 + ... + 10136307.

It is an arithmetic number, because the mean of its divisors is an integer number (592704000).

Almost surely, 2^27232648268 is an apocalyptic number.

27232648268 is a gapful number since it is divisible by the number (28) 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 27232648268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792000).

27232648268 is an abundant number, since it is smaller than the sum of its proper divisors (29666935732).

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

27232648268 is a wasteful number, since it uses less digits than its factorization.

27232648268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2868 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 50.

The spelling of 27232648268 in words is "twenty-seven billion, two hundred thirty-two million, six hundred forty-eight thousand, two hundred sixty-eight".