27849740864 has 112 divisors (see below), whose sum is σ = 61060340160. Its totient is φ = 12497756160.

The previous prime is 27849740861. The next prime is 27849740873. The reversal of 27849740864 is 46804794872.

It is not an unprimeable number, because it can be changed into a prime (27849740861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34424492 + ... + 34425300.

Almost surely, 2^27849740864 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 27849740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30530170080).

27849740864 is an abundant number, since it is smaller than the sum of its proper divisors (33210599296).

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

27849740864 is a wasteful number, since it uses less digits than its factorization.

27849740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 27849740864 in words is "twenty-seven billion, eight hundred forty-nine million, seven hundred forty thousand, eight hundred sixty-four".