5559581664 has 384 divisors, whose sum is σ = 20610293760. Its totient is φ = 1418342400.

The previous prime is 5559581653. The next prime is 5559581681. The reversal of 5559581664 is 4661859555.

5559581664 is a `hidden beast` number, since 5 + 5 + 59 + 581 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5559581664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2436204 + ... + 2438484.

It is an arithmetic number, because the mean of its divisors is an integer number (53672640).

Almost surely, 2^5559581664 is an apocalyptic number.

5559581664 is a gapful number since it is divisible by the number (54) 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 5559581664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305146880).

5559581664 is an abundant number, since it is smaller than the sum of its proper divisors (15050712096).

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

5559581664 is a wasteful number, since it uses less digits than its factorization.

5559581664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2337 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The square root of 5559581664 is about 74562.6023151016. The cubic root of 5559581664 is about 1771.5253498585.

The spelling of 5559581664 in words is "five billion, five hundred fifty-nine million, five hundred eighty-one thousand, six hundred sixty-four".