68400683424 has 288 divisors, whose sum is σ = 206936009280. Its totient is φ = 21394243584.

The previous prime is 68400683363. The next prime is 68400683447. The reversal of 68400683424 is 42438600486.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 68400683424.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 101635152 + ... + 101635824.

It is an arithmetic number, because the mean of its divisors is an integer number (718527810).

Almost surely, 2^68400683424 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 68400683424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103468004640).

68400683424 is an abundant number, since it is smaller than the sum of its proper divisors (138535325856).

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

68400683424 is a wasteful number, since it uses less digits than its factorization.

68400683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 68400683424 in words is "sixty-eight billion, four hundred million, six hundred eighty-three thousand, four hundred twenty-four".