27166745664 has 84 divisors (see below), whose sum is σ = 78029271424. Its totient is φ = 9036893952.

The previous prime is 27166745663. The next prime is 27166745677. The reversal of 27166745664 is 46654766172.

27166745664 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 6 + 74 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27166745664.

It is not an unprimeable number, because it can be changed into a prime (27166745663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232089 + ... + 328935.

Almost surely, 2^27166745664 is an apocalyptic number.

27166745664 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 27166745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39014635712).

27166745664 is an abundant number, since it is smaller than the sum of its proper divisors (50862525760).

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

27166745664 is a wasteful number, since it uses less digits than its factorization.

27166745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97352 (or 97339 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 27166745664 in words is "twenty-seven billion, one hundred sixty-six million, seven hundred forty-five thousand, six hundred sixty-four".