6442208000 has 144 divisors (see below), whose sum is σ = 16748012736. Its totient is φ = 2464563200.

The previous prime is 6442207909. The next prime is 6442208011. The reversal of 6442208000 is 8022446.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731624 + ... + 740376.

It is an arithmetic number, because the mean of its divisors is an integer number (116305644).

Almost surely, 2^6442208000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374006368).

6442208000 is an abundant number, since it is smaller than the sum of its proper divisors (10305804736).

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

6442208000 is an equidigital number, since it uses as much as digits as its factorization.

6442208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8807 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 6442208000 is about 80263.3664880810. The cubic root of 6442208000 is about 1860.7080974507.

The spelling of 6442208000 in words is "six billion, four hundred forty-two million, two hundred eight thousand".