6684981660 has 288 divisors, whose sum is σ = 25056944640. Its totient is φ = 1408264704.

The previous prime is 6684981613. The next prime is 6684981707. The reversal of 6684981660 is 661894866.

It is an interprime number because it is at equal distance from previous prime (6684981613) and next prime (6684981707).

It is a junction number, because it is equal to n+sod(n) for n = 6684981597 and 6684981606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882007 + ... + 889553.

It is an arithmetic number, because the mean of its divisors is an integer number (87003280).

Almost surely, 2^6684981660 is an apocalyptic number.

6684981660 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 6684981660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528472320).

6684981660 is an abundant number, since it is smaller than the sum of its proper divisors (18371962980).

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

6684981660 is a wasteful number, since it uses less digits than its factorization.

6684981660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6684981660 is about 81761.7371390799. The cubic root of 6684981660 is about 1883.7939887252.

The spelling of 6684981660 in words is "six billion, six hundred eighty-four million, nine hundred eighty-one thousand, six hundred sixty".