6643308672 has 576 divisors, whose sum is σ = 26157418560. Its totient is φ = 1590865920.

The previous prime is 6643308641. The next prime is 6643308709. The reversal of 6643308672 is 2768033466.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6643308672² = 88267100222940807168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8071653 + ... + 8072475.

It is an arithmetic number, because the mean of its divisors is an integer number (45412185).

Almost surely, 2^6643308672 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 6643308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078709280).

6643308672 is an abundant number, since it is smaller than the sum of its proper divisors (19514109888).

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

6643308672 is a wasteful number, since it uses less digits than its factorization.

6643308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6643308672 is about 81506.4946614685. The cubic root of 6643308672 is about 1879.8714141720.

The spelling of 6643308672 in words is "six billion, six hundred forty-three million, three hundred eight thousand, six hundred seventy-two".