6868099837200 has 1440 divisors, whose sum is σ = 28330769571840. Its totient is φ = 1411458048000.

The previous prime is 6868099837139. The next prime is 6868099837211. The reversal of 6868099837200 is 27389908686.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3520296225 + ... + 3520298175.

It is an arithmetic number, because the mean of its divisors is an integer number (19674145536).

Almost surely, 2^{6868099837200} is an apocalyptic number.

6868099837200 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 6868099837200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165384785920).

6868099837200 is an abundant number, since it is smaller than the sum of its proper divisors (21462669734640).

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

6868099837200 is a wasteful number, since it uses less digits than its factorization.

6868099837200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 6868099837200 in words is "six trillion, eight hundred sixty-eight billion, ninety-nine million, eight hundred thirty-seven thousand, two hundred".