27681070080 has 352 divisors, whose sum is σ = 94358774016. Its totient is φ = 6901989376.

The previous prime is 27681070069. The next prime is 27681070121. The reversal of 27681070080 is 8007018672.

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, 59274007 + ... + 59274473.

Almost surely, 2^27681070080 is an apocalyptic number.

27681070080 is a gapful number since it is divisible by the number (20) 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 27681070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47179387008).

27681070080 is an abundant number, since it is smaller than the sum of its proper divisors (66677703936).

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

27681070080 is a wasteful number, since it uses less digits than its factorization.

27681070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 27681070080 in words is "twenty-seven billion, six hundred eighty-one million, seventy thousand, eighty".