27772668672 has 144 divisors (see below), whose sum is σ = 85545815040. Its totient is φ = 7834484736.

The previous prime is 27772668643. The next prime is 27772668727. The reversal of 27772668672 is 27686627772.

It is a super-2 number, since 2×27772668672² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392008 + ... + 457400.

It is an arithmetic number, because the mean of its divisors is an integer number (594068160).

Almost surely, 2^27772668672 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 27772668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42772907520).

27772668672 is an abundant number, since it is smaller than the sum of its proper divisors (57773146368).

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

27772668672 is an equidigital number, since it uses as much as digits as its factorization.

27772668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65498 (or 65484 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 60.

The spelling of 27772668672 in words is "twenty-seven billion, seven hundred seventy-two million, six hundred sixty-eight thousand, six hundred seventy-two".