27640830096 has 240 divisors, whose sum is σ = 89382279168. Its totient is φ = 8197200000.

The previous prime is 27640830053. The next prime is 27640830103. The reversal of 27640830096 is 69003804672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003221 + ... + 2016971.

Almost surely, 2^27640830096 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 27640830096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44691139584).

27640830096 is an abundant number, since it is smaller than the sum of its proper divisors (61741449072).

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

27640830096 is a wasteful number, since it uses less digits than its factorization.

27640830096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13832 (or 13814 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27640830096 in words is "twenty-seven billion, six hundred forty million, eight hundred thirty thousand, ninety-six".