27412080064 has 112 divisors (see below), whose sum is σ = 60116313600. Its totient is φ = 12343643136.

The previous prime is 27412080043. The next prime is 27412080097. The reversal of 27412080064 is 46008021472.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4667722 + ... + 4673590.

It is an arithmetic number, because the mean of its divisors is an integer number (536752800).

Almost surely, 2^27412080064 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 27412080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30058156800).

27412080064 is an abundant number, since it is smaller than the sum of its proper divisors (32704233536).

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

27412080064 is a wasteful number, since it uses less digits than its factorization.

27412080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 27412080064 in words is "twenty-seven billion, four hundred twelve million, eighty thousand, sixty-four".