68004483577344 has 480 divisors, whose sum is σ = 213451767260160. Its totient is φ = 20763636940800.

The previous prime is 68004483577259. The next prime is 68004483577391. The reversal of 68004483577344 is 44377538440086.

68004483577344 is a `hidden beast` number, since 6 + 80 + 0 + 4 + 483 + 5 + 7 + 73 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3178214454 + ... + 3178235850.

It is an arithmetic number, because the mean of its divisors is an integer number (444691181792).

Almost surely, 2^{68004483577344} is an apocalyptic number.

68004483577344 is a gapful number since it is divisible by the number (64) 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 68004483577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106725883630080).

68004483577344 is an abundant number, since it is smaller than the sum of its proper divisors (145447283682816).

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

68004483577344 is a wasteful number, since it uses less digits than its factorization.

68004483577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22642 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 68004483577344 in words is "sixty-eight trillion, four billion, four hundred eighty-three million, five hundred seventy-seven thousand, three hundred forty-four".