68008866307200 has 2304 divisors, whose sum is σ = 303788703778560. Its totient is φ = 14105522995200.

The previous prime is 68008866307013. The next prime is 68008866307219. The reversal of 68008866307200 is 270366880086.

It is a happy number.

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, 38795701524 + ... + 38795703276.

It is an arithmetic number, because the mean of its divisors is an integer number (131852736015).

Almost surely, 2^{68008866307200} is an apocalyptic number.

68008866307200 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 68008866307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151894351889280).

68008866307200 is an abundant number, since it is smaller than the sum of its proper divisors (235779837471360).

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

68008866307200 is a wasteful number, since it uses less digits than its factorization.

68008866307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 68008866307200 in words is "sixty-eight trillion, eight billion, eight hundred sixty-six million, three hundred seven thousand, two hundred".