27427334544 has 135 divisors (see below), whose sum is σ = 79101130563. Its totient is φ = 8871503616.

The previous prime is 27427334513. The next prime is 27427334549. The reversal of 27427334544 is 44543372472.

The square root of 27427334544 is 165612.

It is a perfect power (a square), and thus also a powerful number.

27427334544 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 73 + 34 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6274540944 + 21152793600 = 79212^2 + 145440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27427334544.

It is not an unprimeable number, because it can be changed into a prime (27427334549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73531542 + ... + 73531914.

Almost surely, 2^27427334544 is an apocalyptic number.

27427334544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27427334544 is the 165612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27427334544

27427334544 is an abundant number, since it is smaller than the sum of its proper divisors (51673796019).

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

27427334544 is an equidigital number, since it uses as much as digits as its factorization.

27427334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 415 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 45.

The spelling of 27427334544 in words is "twenty-seven billion, four hundred twenty-seven million, three hundred thirty-four thousand, five hundred forty-four".