68784051488256 has 1920 divisors, whose sum is σ = 245210841216000. Its totient is φ = 18938113818624.

The previous prime is 68784051488231. The next prime is 68784051488303. The reversal of 68784051488256 is 65288415048786.

It is a happy number.

68784051488256 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 4 + 0 + 514 + 88 + 25 + 6 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 90864004230 + ... + 90864004986.

It is an arithmetic number, because the mean of its divisors is an integer number (127713979800).

Almost surely, 2^{68784051488256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68784051488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122605420608000).

68784051488256 is an abundant number, since it is smaller than the sum of its proper divisors (176426789727744).

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

68784051488256 is a wasteful number, since it uses less digits than its factorization.

68784051488256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 68784051488256 in words is "sixty-eight trillion, seven hundred eighty-four billion, fifty-one million, four hundred eighty-eight thousand, two hundred fifty-six".