6799093068768 has 1728 divisors, whose sum is σ = 26285132676096. Its totient is φ = 1491930316800.

The previous prime is 6799093068767. The next prime is 6799093068791. The reversal of 6799093068768 is 8678603909976.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 6799093068693 and 6799093068702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6799093068767) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93138261180 + ... + 93138261252.

It is an arithmetic number, because the mean of its divisors is an integer number (15211303632).

Almost surely, 2^{6799093068768} is an apocalyptic number.

6799093068768 is a gapful number since it is divisible by the number (68) 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 6799093068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142566338048).

6799093068768 is an abundant number, since it is smaller than the sum of its proper divisors (19486039607328).

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

6799093068768 is a wasteful number, since it uses less digits than its factorization.

6799093068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 78.

The spelling of 6799093068768 in words is "six trillion, seven hundred ninety-nine billion, ninety-three million, sixty-eight thousand, seven hundred sixty-eight".