68918016000 has 384 divisors, whose sum is σ = 241422854400. Its totient is φ = 17407180800.

The previous prime is 68918015921. The next prime is 68918016043. The reversal of 68918016000 is 61081986.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 68918016000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14589639 + ... + 14594361.

It is an arithmetic number, because the mean of its divisors is an integer number (628705350).

Almost surely, 2^68918016000 is an apocalyptic number.

68918016000 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 68918016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120711427200).

68918016000 is an abundant number, since it is smaller than the sum of its proper divisors (172504838400).

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

68918016000 is a wasteful number, since it uses less digits than its factorization.

68918016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

Adding to 68918016000 its reverse (61081986), we get a palindrome (68979097986).

The spelling of 68918016000 in words is "sixty-eight billion, nine hundred eighteen million, sixteen thousand".