6681211680 has 768 divisors, whose sum is σ = 26824089600. Its totient is φ = 1373552640.

The previous prime is 6681211673. The next prime is 6681211697. The reversal of 6681211680 is 861121866.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61295466 + ... + 61295574.

It is an arithmetic number, because the mean of its divisors is an integer number (34927200).

Almost surely, 2^6681211680 is an apocalyptic number.

6681211680 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 6681211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412044800).

6681211680 is an abundant number, since it is smaller than the sum of its proper divisors (20142877920).

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

6681211680 is a wasteful number, since it uses less digits than its factorization.

6681211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 6681211680 is about 81738.6792161459. The cubic root of 6681211680 is about 1883.4398017098.

The spelling of 6681211680 in words is "six billion, six hundred eighty-one million, two hundred eleven thousand, six hundred eighty".