27664826112 has 324 divisors, whose sum is σ = 101227043736. Its totient is φ = 7185346560.

The previous prime is 27664826099. The next prime is 27664826141. The reversal of 27664826112 is 21162846672.

27664826112 is a `hidden beast` number, since 27 + 6 + 6 + 4 + 8 + 2 + 611 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1230718 + ... + 1252994.

Almost surely, 2^27664826112 is an apocalyptic number.

27664826112 is a gapful number since it is divisible by the number (22) 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 27664826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50613521868).

27664826112 is an abundant number, since it is smaller than the sum of its proper divisors (73562217624).

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

27664826112 is a wasteful number, since it uses less digits than its factorization.

27664826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22324 (or 22300 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

It can be divided in two parts, 27664 and 826112, that added together give a square (853776 = 924²).

The spelling of 27664826112 in words is "twenty-seven billion, six hundred sixty-four million, eight hundred twenty-six thousand, one hundred twelve".