6680016000 has 768 divisors, whose sum is σ = 28730707200. Its totient is φ = 1494374400.

The previous prime is 6680015983. The next prime is 6680016053. The reversal of 6680016000 is 6100866.

It is a super-2 number, since 2×6680016000² = 89245227520512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 142127977 + ... + 142128023.

It is an arithmetic number, because the mean of its divisors is an integer number (37409775).

Almost surely, 2^6680016000 is an apocalyptic number.

6680016000 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 6680016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365353600).

6680016000 is an abundant number, since it is smaller than the sum of its proper divisors (22050691200).

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

6680016000 is an equidigital number, since it uses as much as digits as its factorization.

6680016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6680016000 is about 81731.3648485084. The cubic root of 6680016000 is about 1883.3274405712.

Adding to 6680016000 its reverse (6100866), we get a palindrome (6686116866).

The spelling of 6680016000 in words is "six billion, six hundred eighty million, sixteen thousand".