68583843404832 has 768 divisors, whose sum is σ = 231304864896000. Its totient is φ = 17703104348160.

The previous prime is 68583843404807. The next prime is 68583843404833. The reversal of 68583843404832 is 23840434838586.

68583843404832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (68583843404833) 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 127 ways as a sum of consecutive naturals, for example, 2808383982 + ... + 2808408402.

It is an arithmetic number, because the mean of its divisors is an integer number (301178209500).

Almost surely, 2^{68583843404832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68583843404832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115652432448000).

68583843404832 is an abundant number, since it is smaller than the sum of its proper divisors (162721021491168).

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

68583843404832 is a wasteful number, since it uses less digits than its factorization.

68583843404832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24674 (or 24652 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 66.

The spelling of 68583843404832 in words is "sixty-eight trillion, five hundred eighty-three billion, eight hundred forty-three million, four hundred four thousand, eight hundred thirty-two".