5664204000 has 1296 divisors, whose sum is σ = 26654125680. Its totient is φ = 1132185600.

The previous prime is 5664203989. The next prime is 5664204023. The reversal of 5664204000 is 4024665.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 298115991 + ... + 298116009.

It is an arithmetic number, because the mean of its divisors is an integer number (20566455).

Almost surely, 2^5664204000 is an apocalyptic number.

5664204000 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 5664204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13327062840).

5664204000 is an abundant number, since it is smaller than the sum of its proper divisors (20989921680).

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

5664204000 is a wasteful number, since it uses less digits than its factorization.

5664204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5664204000 is about 75260.9061864126. The cubic root of 5664204000 is about 1782.5687777662.

Adding to 5664204000 its reverse (4024665), we get a palindrome (5668228665).

The spelling of 5664204000 in words is "five billion, six hundred sixty-four million, two hundred four thousand".