5584065480 has 480 divisors, whose sum is σ = 23128399800. Its totient is φ = 1200697344.

The previous prime is 5584065469. The next prime is 5584065481. The reversal of 5584065480 is 845604855.

5584065480 is a `hidden beast` number, since 5 + 584 + 0 + 65 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4276375236 + 1307690244 = 65394^2 + 36162^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5584065481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2697886 + ... + 2699954.

Almost surely, 2^5584065480 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 5584065480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564199900).

5584065480 is an abundant number, since it is smaller than the sum of its proper divisors (17544334320).

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

5584065480 is a wasteful number, since it uses less digits than its factorization.

5584065480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5584065480 is about 74726.6049007982. The cubic root of 5584065480 is about 1774.1220791070.

The spelling of 5584065480 in words is "five billion, five hundred eighty-four million, sixty-five thousand, four hundred eighty".