6682211840 has 320 divisors, whose sum is σ = 17913139200. Its totient is φ = 2380824576.

The previous prime is 6682211797. The next prime is 6682211869. The reversal of 6682211840 is 481122866.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 6682211794 and 6682211803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84584921 + ... + 84584999.

It is an arithmetic number, because the mean of its divisors is an integer number (55978560).

Almost surely, 2^6682211840 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 6682211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956569600).

6682211840 is an abundant number, since it is smaller than the sum of its proper divisors (11230927360).

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

6682211840 is a wasteful number, since it uses less digits than its factorization.

6682211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 6682211840 is about 81744.7970209725. The cubic root of 6682211840 is about 1883.5337790327.

The spelling of 6682211840 in words is "six billion, six hundred eighty-two million, two hundred eleven thousand, eight hundred forty".