6883666560 has 384 divisors, whose sum is σ = 25841088000. Its totient is φ = 1682104320.

The previous prime is 6883666547. The next prime is 6883666597. The reversal of 6883666560 is 656663886.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6883666497 and 6883666506.

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 47 ways as a sum of consecutive naturals, for example, 3391626 + ... + 3393654.

It is an arithmetic number, because the mean of its divisors is an integer number (67294500).

Almost surely, 2^6883666560 is an apocalyptic number.

6883666560 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 6883666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920544000).

6883666560 is an abundant number, since it is smaller than the sum of its proper divisors (18957421440).

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

6883666560 is a wasteful number, since it uses less digits than its factorization.

6883666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 6883666560 is about 82967.8646223946. The cubic root of 6883666560 is about 1902.2748892002.

The spelling of 6883666560 in words is "six billion, eight hundred eighty-three million, six hundred sixty-six thousand, five hundred sixty".