68404172655440 has 320 divisors, whose sum is σ = 172056027709440. Its totient is φ = 25223841054720.

The previous prime is 68404172655437. The next prime is 68404172655449. The reversal of 68404172655440 is 4455627140486.

68404172655440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68404172655449) 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 63 ways as a sum of consecutive naturals, for example, 5715105776 + ... + 5715117744.

It is an arithmetic number, because the mean of its divisors is an integer number (537675086592).

Almost surely, 2^{68404172655440} 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 68404172655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86028013854720).

68404172655440 is an abundant number, since it is smaller than the sum of its proper divisors (103651855054000).

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

68404172655440 is a wasteful number, since it uses less digits than its factorization.

68404172655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12824 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 56.

The spelling of 68404172655440 in words is "sixty-eight trillion, four hundred four billion, one hundred seventy-two million, six hundred fifty-five thousand, four hundred forty".