27424466442472 has 64 divisors (see below), whose sum is σ = 56627021721600. Its totient is φ = 12347580431040.

The previous prime is 27424466442463. The next prime is 27424466442479.

27424466442472 is nontrivially palindromic in base 10.

27424466442472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (27424466442479) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74796729 + ... + 75162487.

It is an arithmetic number, because the mean of its divisors is an integer number (884797214400).

Almost surely, 2^{27424466442472} is an apocalyptic number.

27424466442472 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 27424466442472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28313510860800).

27424466442472 is an abundant number, since it is smaller than the sum of its proper divisors (29202555279128).

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

27424466442472 is a wasteful number, since it uses less digits than its factorization.

27424466442472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373846 (or 373842 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 58.

The spelling of 27424466442472 in words is "twenty-seven trillion, four hundred twenty-four billion, four hundred sixty-six million, four hundred forty-two thousand, four hundred seventy-two".