27664221312 has 1152 divisors, whose sum is σ = 112034482560. Its totient is φ = 6354173952.

The previous prime is 27664221307. The next prime is 27664221323. The reversal of 27664221312 is 21312246672.

27664221312 is a `hidden beast` number, since 2 + 7 + 6 + 642 + 2 + 1 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 643353963 + ... + 643354005.

It is an arithmetic number, because the mean of its divisors is an integer number (97252155).

Almost surely, 2^27664221312 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 27664221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56017241280).

27664221312 is an abundant number, since it is smaller than the sum of its proper divisors (84370261248).

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

27664221312 is a wasteful number, since it uses less digits than its factorization.

27664221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

Adding to 27664221312 its reverse (21312246672), we get a palindrome (48976467984).

The spelling of 27664221312 in words is "twenty-seven billion, six hundred sixty-four million, two hundred twenty-one thousand, three hundred twelve".