68026714310016 has 960 divisors, whose sum is σ = 255788561175840. Its totient is φ = 17566749573120.

The previous prime is 68026714309979. The next prime is 68026714310039. The reversal of 68026714310016 is 61001341762086.

68026714310016 is a `hidden beast` number, since 68 + 0 + 267 + 1 + 4 + 310 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1519211020 + ... + 1519255796.

Almost surely, 2^{68026714310016} is an apocalyptic number.

68026714310016 is a gapful number since it is divisible by the number (66) 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 68026714310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127894280587920).

68026714310016 is an abundant number, since it is smaller than the sum of its proper divisors (187761846865824).

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

68026714310016 is a wasteful number, since it uses less digits than its factorization.

68026714310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005 (or 44973 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 68026714310016 in words is "sixty-eight trillion, twenty-six billion, seven hundred fourteen million, three hundred ten thousand, sixteen".