68132844182880 has 240 divisors, whose sum is σ = 253107540488880. Its totient is φ = 17212507941888.

The previous prime is 68132844182869. The next prime is 68132844182927. The reversal of 68132844182880 is 8828144823186.

68132844182880 is a `hidden beast` number, since 6 + 8 + 1 + 32 + 8 + 441 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138100179 + ... + 138592658.

It is an arithmetic number, because the mean of its divisors is an integer number (1054614752037).

Almost surely, 2^{68132844182880} is an apocalyptic number.

68132844182880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68132844182880 is an abundant number, since it is smaller than the sum of its proper divisors (184974696306000).

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

68132844182880 is a wasteful number, since it uses less digits than its factorization.

68132844182880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276692883 (or 276692866 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 68132844182880 in words is "sixty-eight trillion, one hundred thirty-two billion, eight hundred forty-four million, one hundred eighty-two thousand, eight hundred eighty".