27091325664 has 384 divisors, whose sum is σ = 91834404480. Its totient is φ = 7694548992.

The previous prime is 27091325633. The next prime is 27091325671. The reversal of 27091325664 is 46652319072.

27091325664 is a `hidden beast` number, since 2 + 70 + 9 + 13 + 2 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10118694 + ... + 10121370.

It is an arithmetic number, because the mean of its divisors is an integer number (239152095).

Almost surely, 2^27091325664 is an apocalyptic number.

27091325664 is a gapful number since it is divisible by the number (24) 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 27091325664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45917202240).

27091325664 is an abundant number, since it is smaller than the sum of its proper divisors (64743078816).

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

27091325664 is a wasteful number, since it uses less digits than its factorization.

27091325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27091325664 in words is "twenty-seven billion, ninety-one million, three hundred twenty-five thousand, six hundred sixty-four".