27412344180 has 216 divisors, whose sum is σ = 90263523168. Its totient is φ = 6730843392.

The previous prime is 27412344149. The next prime is 27412344203. The reversal of 27412344180 is 8144321472.

27412344180 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 234 + 418 + 0 = 666.

It is a super-2 number, since 2×27412344180² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15908799 + ... + 15910521.

Almost surely, 2^27412344180 is an apocalyptic number.

27412344180 is a gapful number since it is divisible by the number (20) 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 27412344180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45131761584).

27412344180 is an abundant number, since it is smaller than the sum of its proper divisors (62851178988).

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

27412344180 is a wasteful number, since it uses less digits than its factorization.

27412344180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27412344180 in words is "twenty-seven billion, four hundred twelve million, three hundred forty-four thousand, one hundred eighty".