5584464000 has 640 divisors, whose sum is σ = 21563942400. Its totient is φ = 1430784000.

The previous prime is 5584463993. The next prime is 5584464013. The reversal of 5584464000 is 4644855.

5584464000 is a `hidden beast` number, since 5 + 5 + 8 + 4 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40175931 + ... + 40176069.

It is an arithmetic number, because the mean of its divisors is an integer number (33693660).

Almost surely, 2^5584464000 is an apocalyptic number.

5584464000 is a gapful number since it is divisible by the number (50) 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 5584464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781971200).

5584464000 is an abundant number, since it is smaller than the sum of its proper divisors (15979478400).

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

5584464000 is a wasteful number, since it uses less digits than its factorization.

5584464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5584464000 is about 74729.2713734049. The cubic root of 5584464000 is about 1774.1642829048.

The spelling of 5584464000 in words is "five billion, five hundred eighty-four million, four hundred sixty-four thousand".