6643008000 has 480 divisors, whose sum is σ = 25227671040. Its totient is φ = 1675468800.

The previous prime is 6643007999. The next prime is 6643008007. The reversal of 6643008000 is 8003466.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (6643008007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10943697 + ... + 10944303.

It is an arithmetic number, because the mean of its divisors is an integer number (52557648).

Almost surely, 2^6643008000 is an apocalyptic number.

6643008000 is a gapful number since it is divisible by the number (60) 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 6643008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613835520).

6643008000 is an abundant number, since it is smaller than the sum of its proper divisors (18584663040).

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

6643008000 is a wasteful number, since it uses less digits than its factorization.

6643008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6643008000 is about 81504.6501740852. The cubic root of 6643008000 is about 1879.8430531422.

The spelling of 6643008000 in words is "six billion, six hundred forty-three million, eight thousand".