68358348002880 has 168 divisors, whose sum is σ = 253210714199352. Its totient is φ = 16826670268416.

The previous prime is 68358348002873. The next prime is 68358348002881. The reversal of 68358348002880 is 8820084385386.

68358348002880 is a `hidden beast` number, since 6 + 8 + 3 + 5 + 8 + 348 + 0 + 0 + 288 + 0 = 666.

68358348002880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5229856724544 + 63128491278336 = 2286888^2 + 7945344^2 .

It is not an unprimeable number, because it can be changed into a prime (68358348002881) 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 23 ways as a sum of consecutive naturals, for example, 912867849 + ... + 912942728.

It is an arithmetic number, because the mean of its divisors is an integer number (1507206632139).

Almost surely, 2^{68358348002880} is an apocalyptic number.

68358348002880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68358348002880 is an abundant number, since it is smaller than the sum of its proper divisors (184852366196472).

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

68358348002880 is a wasteful number, since it uses less digits than its factorization.

68358348002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825810613 (or 1825810600 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 68358348002880 in words is "sixty-eight trillion, three hundred fifty-eight billion, three hundred forty-eight million, two thousand, eight hundred eighty".