27681307687936 has 352 divisors, whose sum is σ = 67274311104000. Its totient is φ = 11120324640768.

The previous prime is 27681307687909. The next prime is 27681307687981. The reversal of 27681307687936 is 63978670318672.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11834675055 + ... + 11834677393.

It is an arithmetic number, because the mean of its divisors is an integer number (191120202000).

Almost surely, 2^{27681307687936} 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 27681307687936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33637155552000).

27681307687936 is an abundant number, since it is smaller than the sum of its proper divisors (39593003416064).

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

27681307687936 is a wasteful number, since it uses less digits than its factorization.

27681307687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 73.

The spelling of 27681307687936 in words is "twenty-seven trillion, six hundred eighty-one billion, three hundred seven million, six hundred eighty-seven thousand, nine hundred thirty-six".