6868075968000 has 1280 divisors, whose sum is σ = 27993675790080. Its totient is φ = 1649147904000.

The previous prime is 6868075967993. The next prime is 6868075968001. The reversal of 6868075968000 is 8695708686.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6868075968001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 921020272 + ... + 921027728.

It is an arithmetic number, because the mean of its divisors is an integer number (21870059211).

Almost surely, 2^{6868075968000} is an apocalyptic number.

6868075968000 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 6868075968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996837895040).

6868075968000 is an abundant number, since it is smaller than the sum of its proper divisors (21125599822080).

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

6868075968000 is a wasteful number, since it uses less digits than its factorization.

6868075968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7553 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 6868075968000 in words is "six trillion, eight hundred sixty-eight billion, seventy-five million, nine hundred sixty-eight thousand".