68351166074880 has 520 divisors, whose sum is σ = 263869578844872. Its totient is φ = 16824897110016.

The previous prime is 68351166074879. The next prime is 68351166074941. The reversal of 68351166074880 is 8847066115386.

68351166074880 is a `hidden beast` number, since 6 + 8 + 3 + 5 + 1 + 16 + 607 + 4 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2453815296 + 68348712259584 = 49536^2 + 8267328^2 .

It is a tau number, because it is divible by the number of its divisors (520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19980702 + ... + 23150178.

Almost surely, 2^{68351166074880} is an apocalyptic number.

68351166074880 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 68351166074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131934789422436).

68351166074880 is an abundant number, since it is smaller than the sum of its proper divisors (195518412769992).

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

68351166074880 is a wasteful number, since it uses less digits than its factorization.

68351166074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169531 (or 3169500 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 68351166074880 in words is "sixty-eight trillion, three hundred fifty-one billion, one hundred sixty-six million, seventy-four thousand, eight hundred eighty".