27636863672 has 96 divisors (see below), whose sum is σ = 58714286400. Its totient is φ = 12179946240.

The previous prime is 27636863669. The next prime is 27636863699.

27636863672 is nontrivially palindromic in base 10.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4956278 + ... + 4961850.

It is an arithmetic number, because the mean of its divisors is an integer number (611607150).

Almost surely, 2^27636863672 is an apocalyptic number.

27636863672 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 27636863672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357143200).

27636863672 is an abundant number, since it is smaller than the sum of its proper divisors (31077422728).

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

27636863672 is a wasteful number, since it uses less digits than its factorization.

27636863672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5742 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 56.

The spelling of 27636863672 in words is "twenty-seven billion, six hundred thirty-six million, eight hundred sixty-three thousand, six hundred seventy-two".