6684317640 has 896 divisors, whose sum is σ = 30408134400. Its totient is φ = 1276508160.

The previous prime is 6684317639. The next prime is 6684317641. The reversal of 6684317640 is 467134866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6684317639) and next prime (6684317641).

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 (6684317641) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 29189046 + ... + 29189274.

It is an arithmetic number, because the mean of its divisors is an integer number (33937650).

Almost surely, 2^6684317640 is an apocalyptic number.

6684317640 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 6684317640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204067200).

6684317640 is an abundant number, since it is smaller than the sum of its proper divisors (23723816760).

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

6684317640 is a wasteful number, since it uses less digits than its factorization.

6684317640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6684317640 is about 81757.6763368431. The cubic root of 6684317640 is about 1883.7316141685.

The spelling of 6684317640 in words is "six billion, six hundred eighty-four million, three hundred seventeen thousand, six hundred forty".