6684343050240 has 896 divisors, whose sum is σ = 26105432371200. Its totient is φ = 1615138652160.

The previous prime is 6684343050227. The next prime is 6684343050241. The reversal of 6684343050240 is 420503434866.

6684343050240 is a `hidden beast` number, since 6 + 6 + 84 + 34 + 30 + 502 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6684343050241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 483280125 + ... + 483293955.

It is an arithmetic number, because the mean of its divisors is an integer number (29135527200).

Almost surely, 2^{6684343050240} is an apocalyptic number.

6684343050240 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 6684343050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052716185600).

6684343050240 is an abundant number, since it is smaller than the sum of its proper divisors (19421089320960).

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

6684343050240 is a wasteful number, since it uses less digits than its factorization.

6684343050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13913 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6684343050240 in words is "six trillion, six hundred eighty-four billion, three hundred forty-three million, fifty thousand, two hundred forty".