68636039186880 has 2016 divisors, whose sum is σ = 275381956362240. Its totient is φ = 16255398297600.

The previous prime is 68636039186867. The next prime is 68636039186899. The reversal of 68636039186880 is 8868193063686.

68636039186880 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 603 + 9 + 1 + 8 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 68636039186799 and 68636039186808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84840591916 + ... + 84840592724.

It is an arithmetic number, because the mean of its divisors is an integer number (136598192640).

Almost surely, 2^{68636039186880} is an apocalyptic number.

68636039186880 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 68636039186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137690978181120).

68636039186880 is an abundant number, since it is smaller than the sum of its proper divisors (206745917175360).

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

68636039186880 is a wasteful number, since it uses less digits than its factorization.

68636039186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 72.

The spelling of 68636039186880 in words is "sixty-eight trillion, six hundred thirty-six billion, thirty-nine million, one hundred eighty-six thousand, eight hundred eighty".