27261005646 has 96 divisors (see below), whose sum is σ = 64595646720. Its totient is φ = 7645881600.

The previous prime is 27261005623. The next prime is 27261005683. The reversal of 27261005646 is 64650016272.

It is a congruent number.

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, 5027925 + ... + 5033343.

It is an arithmetic number, because the mean of its divisors is an integer number (672871320).

Almost surely, 2^27261005646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27261005646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32297823360).

27261005646 is an abundant number, since it is smaller than the sum of its proper divisors (37334641074).

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

27261005646 is a wasteful number, since it uses less digits than its factorization.

27261005646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 27261005646 in words is "twenty-seven billion, two hundred sixty-one million, five thousand, six hundred forty-six".