68305755841920 has 768 divisors, whose sum is σ = 259096662377280. Its totient is φ = 17136522362880.

The previous prime is 68305755841891. The next prime is 68305755841943. The reversal of 68305755841920 is 2914855750386.

68305755841920 is a `hidden beast` number, since 6 + 8 + 3 + 0 + 57 + 558 + 4 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×68305755841920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10979864410 + ... + 10979870630.

It is a 1-persistent number, because it is pandigital, but 2⋅68305755841920 = 136611511683840 is not.

Almost surely, 2^{68305755841920} is an apocalyptic number.

68305755841920 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 68305755841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548331188640).

68305755841920 is an abundant number, since it is smaller than the sum of its proper divisors (190790906535360).

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

68305755841920 is a wasteful number, since it uses less digits than its factorization.

68305755841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10425 (or 10401 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 68305755841920 in words is "sixty-eight trillion, three hundred five billion, seven hundred fifty-five million, eight hundred forty-one thousand, nine hundred twenty".