68484060321600 has 1008 divisors, whose sum is σ = 282429002636928. Its totient is φ = 14221363200000.

The previous prime is 68484060321553. The next prime is 68484060321629. The reversal of 68484060321600 is 612306048486.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68484060321600.

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 143 ways as a sum of consecutive naturals, for example, 7728701170 + ... + 7728710030.

It is an arithmetic number, because the mean of its divisors is an integer number (280187502616).

Almost surely, 2^{68484060321600} is an apocalyptic number.

68484060321600 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 68484060321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141214501318464).

68484060321600 is an abundant number, since it is smaller than the sum of its proper divisors (213944942315328).

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

68484060321600 is a wasteful number, since it uses less digits than its factorization.

68484060321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10816 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 68484060321600 in words is "sixty-eight trillion, four hundred eighty-four billion, sixty million, three hundred twenty-one thousand, six hundred".