27661271632 has 80 divisors (see below), whose sum is σ = 57688450560. Its totient is φ = 12815041536.

The previous prime is 27661271629. The next prime is 27661271689. The reversal of 27661271632 is 23617216672.

It is a congruent number.

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, 3168169 + ... + 3176887.

It is an arithmetic number, because the mean of its divisors is an integer number (721105632).

Almost surely, 2^27661271632 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 27661271632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844225280).

27661271632 is an abundant number, since it is smaller than the sum of its proper divisors (30027178928).

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

27661271632 is a wasteful number, since it uses less digits than its factorization.

27661271632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 9014 counting only the distinct ones).

The product of its digits is 254016, while the sum is 43.

The spelling of 27661271632 in words is "twenty-seven billion, six hundred sixty-one million, two hundred seventy-one thousand, six hundred thirty-two".