27688288672 has 108 divisors (see below), whose sum is σ = 60602843574. Its totient is φ = 12443200000.

The previous prime is 27688288609. The next prime is 27688288679.

27688288672 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 23567162256 + 4121126416 = 153516^2 + 64196^2 .

It is not an unprimeable number, because it can be changed into a prime (27688288679) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39497922 + ... + 39498622.

Almost surely, 2^27688288672 is an apocalyptic number.

27688288672 is a gapful number since it is divisible by the number (22) 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 27688288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30301421787).

27688288672 is an abundant number, since it is smaller than the sum of its proper divisors (32914554902).

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

27688288672 is a wasteful number, since it uses less digits than its factorization.

27688288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 815 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 64.

The spelling of 27688288672 in words is "twenty-seven billion, six hundred eighty-eight million, two hundred eighty-eight thousand, six hundred seventy-two".