68443817198880 has 192 divisors, whose sum is σ = 218328074697600. Its totient is φ = 18021147893760.

The previous prime is 68443817198851. The next prime is 68443817198881. The reversal of 68443817198880 is 8889171834486.

68443817198880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×68443817198880² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (68443817198881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29158615 + ... + 31418345.

It is an arithmetic number, because the mean of its divisors is an integer number (1137125389050).

Almost surely, 2^{68443817198880} is an apocalyptic number.

68443817198880 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 68443817198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109164037348800).

68443817198880 is an abundant number, since it is smaller than the sum of its proper divisors (149884257498720).

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

68443817198880 is a wasteful number, since it uses less digits than its factorization.

68443817198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260547 (or 2260539 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 75.

The spelling of 68443817198880 in words is "sixty-eight trillion, four hundred forty-three billion, eight hundred seventeen million, one hundred ninety-eight thousand, eight hundred eighty".