6675967968 has 192 divisors, whose sum is σ = 18609212160. Its totient is φ = 2092511232.

The previous prime is 6675967957. The next prime is 6675968027. The reversal of 6675967968 is 8697695766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21745671 + ... + 21745977.

It is an arithmetic number, because the mean of its divisors is an integer number (96922980).

Almost surely, 2^6675967968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6675967968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9304606080).

6675967968 is an abundant number, since it is smaller than the sum of its proper divisors (11933244192).

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

6675967968 is a wasteful number, since it uses less digits than its factorization.

6675967968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 69.

The square root of 6675967968 is about 81706.5968450528. The cubic root of 6675967968 is about 1882.9469369794.

The spelling of 6675967968 in words is "six billion, six hundred seventy-five million, nine hundred sixty-seven thousand, nine hundred sixty-eight".