68582428800 has 192 divisors, whose sum is σ = 226458645600. Its totient is φ = 18242887680.

The previous prime is 68582428781. The next prime is 68582428829. The reversal of 68582428800 is 882428586.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3917667 + ... + 3935133.

Almost surely, 2^68582428800 is an apocalyptic number.

68582428800 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 68582428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113229322800).

68582428800 is an abundant number, since it is smaller than the sum of its proper divisors (157876216800).

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

68582428800 is a wasteful number, since it uses less digits than its factorization.

68582428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17903 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 68582428800 in words is "sixty-eight billion, five hundred eighty-two million, four hundred twenty-eight thousand, eight hundred".