6830868768768 has 384 divisors, whose sum is σ = 22087997568000. Its totient is φ = 2068665384960.

The previous prime is 6830868768727. The next prime is 6830868768833. The reversal of 6830868768768 is 8678678680386.

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

It is a super-2 number, since 2×6830868768768² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495699221 + ... + 1495703787.

It is an arithmetic number, because the mean of its divisors is an integer number (57520827000).

Almost surely, 2^{6830868768768} 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 6830868768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043998784000).

6830868768768 is an abundant number, since it is smaller than the sum of its proper divisors (15257128799232).

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

6830868768768 is a wasteful number, since it uses less digits than its factorization.

6830868768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 6242697216, while the sum is 81.

The spelling of 6830868768768 in words is "six trillion, eight hundred thirty billion, eight hundred sixty-eight million, seven hundred sixty-eight thousand, seven hundred sixty-eight".