5584656384 has 144 divisors (see below), whose sum is σ = 16397231760. Its totient is φ = 1830666240.

The previous prime is 5584656379. The next prime is 5584656391. The reversal of 5584656384 is 4836564855.

5584656384 is a `hidden beast` number, since 5 + 584 + 6 + 56 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5584656384.

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 11 ways as a sum of consecutive naturals, for example, 1121869 + ... + 1126835.

It is an arithmetic number, because the mean of its divisors is an integer number (113869665).

Almost surely, 2^5584656384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5584656384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8198615880).

5584656384 is an abundant number, since it is smaller than the sum of its proper divisors (10812575376).

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

5584656384 is a wasteful number, since it uses less digits than its factorization.

5584656384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5033 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The square root of 5584656384 is about 74730.5585687676. The cubic root of 5584656384 is about 1774.1846559076.

The spelling of 5584656384 in words is "five billion, five hundred eighty-four million, six hundred fifty-six thousand, three hundred eighty-four".