68326876800 has 1728 divisors, whose sum is σ = 320797800960. Its totient is φ = 13470105600.

The previous prime is 68326876729. The next prime is 68326876801. The reversal of 68326876800 is 867862386.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (68326876801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2204092785 + ... + 2204092815.

Almost surely, 2^68326876800 is an apocalyptic number.

68326876800 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 68326876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160398900480).

68326876800 is an abundant number, since it is smaller than the sum of its proper divisors (252470924160).

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

68326876800 is a wasteful number, since it uses less digits than its factorization.

68326876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

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

The spelling of 68326876800 in words is "sixty-eight billion, three hundred twenty-six million, eight hundred seventy-six thousand, eight hundred".