6643693056 has 640 divisors, whose sum is σ = 24748416000. Its totient is φ = 1527644160.

The previous prime is 6643693033. The next prime is 6643693073. The reversal of 6643693056 is 6503963466.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6643692996 and 6643693014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44588470 + ... + 44588618.

It is an arithmetic number, because the mean of its divisors is an integer number (38669400).

Almost surely, 2^6643693056 is an apocalyptic number.

6643693056 is a gapful number since it is divisible by the number (66) 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 6643693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208000).

6643693056 is an abundant number, since it is smaller than the sum of its proper divisors (18104722944).

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

6643693056 is a wasteful number, since it uses less digits than its factorization.

6643693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The square root of 6643693056 is about 81508.8526235034. The cubic root of 6643693056 is about 1879.9076701299.

The spelling of 6643693056 in words is "six billion, six hundred forty-three million, six hundred ninety-three thousand, fifty-six".