68208960000 has 400 divisors, whose sum is σ = 228797436384. Its totient is φ = 18051072000.

The previous prime is 68208959981. The next prime is 68208960019. The reversal of 68208960000 is 6980286.

It is an interprime number because it is at equal distance from previous prime (68208959981) and next prime (68208960019).

It is a tau number, because it is divible by the number of its divisors (400).

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 39 ways as a sum of consecutive naturals, for example, 217919844 + ... + 217920156.

Almost surely, 2^68208960000 is an apocalyptic number.

68208960000 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 68208960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114398718192).

68208960000 is an abundant number, since it is smaller than the sum of its proper divisors (160588476384).

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

68208960000 is an equidigital number, since it uses as much as digits as its factorization.

68208960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 68208960000 in words is "sixty-eight billion, two hundred eight million, nine hundred sixty thousand".