5688018000 has 360 divisors, whose sum is σ = 23113420200. Its totient is φ = 1299916800.

The previous prime is 5688017999. The next prime is 5688018019. The reversal of 5688018000 is 8108865.

5688018000 is a `hidden beast` number, since 568 + 80 + 18 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 5639409216 = 6972^2 + 75096^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 878776 + ... + 885224.

It is an arithmetic number, because the mean of its divisors is an integer number (64203945).

Almost surely, 2^5688018000 is an apocalyptic number.

5688018000 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 5688018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556710100).

5688018000 is an abundant number, since it is smaller than the sum of its proper divisors (17425402200).

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

5688018000 is a wasteful number, since it uses less digits than its factorization.

5688018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5688018000 is about 75418.9498733574. The cubic root of 5688018000 is about 1785.0634348852.

The spelling of 5688018000 in words is "five billion, six hundred eighty-eight million, eighteen thousand".