5644800

5644800 is an integer. It is an even number, as it is divisible by 2. Its prime factorization is 2^5 * 3 * 5^2 * 7 * 11. This means it is composed of the prime numbers 2, 3, 5, 7, and 11, raised to specific powers. The number 5644800 is also a highly composite number, meaning it has more divisors than any smaller positive integer.

In terms of its mathematical properties, 5644800 is a composite number with a significant number of divisors. Calculating the exact number of divisors involves summing the exponents in its prime factorization and adding one to each, then multiplying these results together: (5+1)*(1+1)*(2+1)*(1+1)*(1+1) = 6 * 2 * 3 * 2 * 2 = 144. Therefore, 5644800 has 144 divisors.

The number 5644800 does not hold any widely recognized significance in fields like physics, chemistry, or prominent historical events. Its primary relevance is within the realm of mathematics, specifically in number theory due to its composite nature and high number of divisors. Unless it appears in a specific scientific context or a niche application, its presence is generally limited to mathematical discussions or data sets where large integers are involved.