68361228800 has 90 divisors (see below), whose sum is σ = 169443605529. Its totient is φ = 27332659200.

The previous prime is 68361228713. The next prime is 68361228811. The reversal of 68361228800 is 882216386.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 66994004224 + 1367224576 = 258832^2 + 36976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=184880.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29579645 + ... + 29581955.

Almost surely, 2^68361228800 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 68361228800

68361228800 is an abundant number, since it is smaller than the sum of its proper divisors (101082376729).

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

68361228800 is an frugal number, since it uses more digits than its factorization.

68361228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 68361228800 in words is "sixty-eight billion, three hundred sixty-one million, two hundred twenty-eight thousand, eight hundred".