68352000000 has 420 divisors, whose sum is σ = 230390019720. Its totient is φ = 18022400000.

The previous prime is 68351999953. The next prime is 68352000019. The reversal of 68352000000 is 25386.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 767999956 + ... + 768000044.

It is an arithmetic number, because the mean of its divisors is an integer number (548547666).

Almost surely, 2^68352000000 is an apocalyptic number.

68352000000 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 68352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115195009860).

68352000000 is an abundant number, since it is smaller than the sum of its proper divisors (162038019720).

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

68352000000 is an frugal number, since it uses more digits than its factorization.

68352000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 68352000000 its reverse (25386), we get a palindrome (68352025386).

The spelling of 68352000000 in words is "sixty-eight billion, three hundred fifty-two million", and thus it is an aban number.