6682445318016 has 192 divisors, whose sum is σ = 20750143050000. Its totient is φ = 2052014211072.

The previous prime is 6682445317997. The next prime is 6682445318027. The reversal of 6682445318016 is 6108135442866.

6682445318016 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 4 + 453 + 180 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7025920 + ... + 7920128.

Almost surely, 2^{6682445318016} 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 6682445318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10375071525000).

6682445318016 is an abundant number, since it is smaller than the sum of its proper divisors (14067697731984).

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

6682445318016 is a wasteful number, since it uses less digits than its factorization.

6682445318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894741 (or 894726 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6682445318016 in words is "six trillion, six hundred eighty-two billion, four hundred forty-five million, three hundred eighteen thousand, sixteen".