27384434784 has 216 divisors, whose sum is σ = 93512397888. Its totient is φ = 7571612160.

The previous prime is 27384434771. The next prime is 27384434801. The reversal of 27384434784 is 48743448372.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27384434784.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 406174 + ... + 468770.

It is an arithmetic number, because the mean of its divisors is an integer number (432927768).

Almost surely, 2^27384434784 is an apocalyptic number.

27384434784 is a gapful number since it is divisible by the number (24) 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 27384434784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46756198944).

27384434784 is an abundant number, since it is smaller than the sum of its proper divisors (66127963104).

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

27384434784 is a wasteful number, since it uses less digits than its factorization.

27384434784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62658 (or 62640 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 27384434784 in words is "twenty-seven billion, three hundred eighty-four million, four hundred thirty-four thousand, seven hundred eighty-four".