68874516756864 has 512 divisors, whose sum is σ = 250230043929600. Its totient is φ = 18161452744704.

The previous prime is 68874516756817. The next prime is 68874516756893. The reversal of 68874516756864 is 46865761547886.

68874516756864 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 45 + 1 + 6 + 7 + 568 + 6 + 4 = 666.

It is a super-2 number, since 2×68874516756864² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2118743299 + ... + 2118775805.

It is an arithmetic number, because the mean of its divisors is an integer number (488730554550).

Almost surely, 2^{68874516756864} is an apocalyptic number.

68874516756864 is a gapful number since it is divisible by the number (64) 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 68874516756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125115021964800).

68874516756864 is an abundant number, since it is smaller than the sum of its proper divisors (181355527172736).

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

68874516756864 is a wasteful number, since it uses less digits than its factorization.

68874516756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39287 (or 39269 counting only the distinct ones).

The product of its digits is 13005619200, while the sum is 81.

The spelling of 68874516756864 in words is "sixty-eight trillion, eight hundred seventy-four billion, five hundred sixteen million, seven hundred fifty-six thousand, eight hundred sixty-four".