27527344164 has 72 divisors (see below), whose sum is σ = 72136576512. Its totient is φ = 8841594240.

The previous prime is 27527344151. The next prime is 27527344171. The reversal of 27527344164 is 46144372572.

27527344164 is a `hidden beast` number, since 27 + 527 + 3 + 4 + 41 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207097 + ... + 312959.

It is an arithmetic number, because the mean of its divisors is an integer number (1001896896).

Almost surely, 2^27527344164 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 27527344164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068288256).

27527344164 is an abundant number, since it is smaller than the sum of its proper divisors (44609232348).

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

27527344164 is a wasteful number, since it uses less digits than its factorization.

27527344164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106137 (or 106132 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 27527344164 in words is "twenty-seven billion, five hundred twenty-seven million, three hundred forty-four thousand, one hundred sixty-four".