6683664960 has 336 divisors, whose sum is σ = 27657552000. Its totient is φ = 1447206912.

The previous prime is 6683664947. The next prime is 6683664961. The reversal of 6683664960 is 694663866.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 6683664897 and 6683664906.

It is not an unprimeable number, because it can be changed into a prime (6683664961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374316 + ... + 391764.

Almost surely, 2^6683664960 is an apocalyptic number.

6683664960 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 6683664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828776000).

6683664960 is an abundant number, since it is smaller than the sum of its proper divisors (20973887040).

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

6683664960 is a wasteful number, since it uses less digits than its factorization.

6683664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 17485 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The square root of 6683664960 is about 81753.6846876029. The cubic root of 6683664960 is about 1883.6703008062.

The spelling of 6683664960 in words is "six billion, six hundred eighty-three million, six hundred sixty-four thousand, nine hundred sixty".