5598641664 has 480 divisors, whose sum is σ = 20835809280. Its totient is φ = 1404518400.

The previous prime is 5598641639. The next prime is 5598641687. The reversal of 5598641664 is 4661468955.

5598641664 is a `hidden beast` number, since 5 + 598 + 6 + 41 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5598641664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10999042 + ... + 10999550.

It is an arithmetic number, because the mean of its divisors is an integer number (43407936).

Almost surely, 2^5598641664 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 5598641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417904640).

5598641664 is an abundant number, since it is smaller than the sum of its proper divisors (15237167616).

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

5598641664 is a wasteful number, since it uses less digits than its factorization.

5598641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 563 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 5598641664 is about 74824.0714209004. The cubic root of 5598641664 is about 1775.6644118783.

The spelling of 5598641664 in words is "five billion, five hundred ninety-eight million, six hundred forty-one thousand, six hundred sixty-four".