27280416384 has 448 divisors, whose sum is σ = 89964742560. Its totient is φ = 8183089152.

The previous prime is 27280416323. The next prime is 27280416389. The reversal of 27280416384 is 48361408272.

It is a happy number.

27280416384 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 0 + 4 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×27280416384³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (27280416389) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 52161147 + ... + 52161669.

Almost surely, 2^27280416384 is an apocalyptic number.

27280416384 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 27280416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44982371280).

27280416384 is an abundant number, since it is smaller than the sum of its proper divisors (62684326176).

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

27280416384 is an equidigital number, since it uses as much as digits as its factorization.

27280416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 27280416384 in words is "twenty-seven billion, two hundred eighty million, four hundred sixteen thousand, three hundred eighty-four".