27633188864 has 68 divisors (see below), whose sum is σ = 55438314444. Its totient is φ = 13773570048.

The previous prime is 27633188851. The next prime is 27633188873. The reversal of 27633188864 is 46888133672.

It can be written as a sum of positive squares in 2 ways, for example, as 8875147264 + 18758041600 = 94208^2 + 136960^2 .

It is a super-2 number, since 2×27633188864² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36503174 + ... + 36503930.

Almost surely, 2^27633188864 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 27633188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27719157222).

27633188864 is an abundant number, since it is smaller than the sum of its proper divisors (27805125580).

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

27633188864 is an frugal number, since it uses more digits than its factorization.

27633188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1316 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 27633188864 in words is "twenty-seven billion, six hundred thirty-three million, one hundred eighty-eight thousand, eight hundred sixty-four".