68544195840 has 1008 divisors, whose sum is σ = 271442178000. Its totient is φ = 16498556928.

The previous prime is 68544195809. The next prime is 68544195887. The reversal of 68544195840 is 4859144586.

68544195840 is a `hidden beast` number, since 6 + 8 + 5 + 44 + 19 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1135420416 + 67408775424 = 33696^2 + 259632^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 460028086 + ... + 460028234.

It is an arithmetic number, because the mean of its divisors is an integer number (269287875).

Almost surely, 2^68544195840 is an apocalyptic number.

68544195840 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 68544195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135721089000).

68544195840 is an abundant number, since it is smaller than the sum of its proper divisors (202897982160).

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

68544195840 is a wasteful number, since it uses less digits than its factorization.

68544195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 68544195840 in words is "sixty-eight billion, five hundred forty-four million, one hundred ninety-five thousand, eight hundred forty".