5585684832 has 720 divisors, whose sum is σ = 21899354400. Its totient is φ = 1379524608.

The previous prime is 5585684831. The next prime is 5585684857. The reversal of 5585684832 is 2384865855.

5585684832 is a `hidden beast` number, since 5 + 5 + 8 + 568 + 48 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585684831) 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, 28068669 + ... + 28068867.

It is an arithmetic number, because the mean of its divisors is an integer number (30415770).

Almost surely, 2^5585684832 is an apocalyptic number.

5585684832 is a gapful number since it is divisible by the number (52) 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 5585684832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949677200).

5585684832 is an abundant number, since it is smaller than the sum of its proper divisors (16313669568).

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

5585684832 is a wasteful number, since it uses less digits than its factorization.

5585684832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The square root of 5585684832 is about 74737.4392924992. The cubic root of 5585684832 is about 1774.2935581414.

The spelling of 5585684832 in words is "five billion, five hundred eighty-five million, six hundred eighty-four thousand, eight hundred thirty-two".