5664992000 has 288 divisors, whose sum is σ = 15152417280. Its totient is φ = 2105241600.

The previous prime is 5664991999. The next prime is 5664992033. The reversal of 5664992000 is 2994665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31647911 + ... + 31648089.

It is an arithmetic number, because the mean of its divisors is an integer number (52612560).

Almost surely, 2^5664992000 is an apocalyptic number.

5664992000 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 5664992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576208640).

5664992000 is an abundant number, since it is smaller than the sum of its proper divisors (9487425280).

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

5664992000 is a wasteful number, since it uses less digits than its factorization.

5664992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 5664992000 is about 75266.1411260070. The cubic root of 5664992000 is about 1782.6514371633.

The spelling of 5664992000 in words is "five billion, six hundred sixty-four million, nine hundred ninety-two thousand".