68480967923712 has 288 divisors, whose sum is σ = 201466209344400. Its totient is φ = 22406117916672.

The previous prime is 68480967923671. The next prime is 68480967923729. The reversal of 68480967923712 is 21732976908486.

68480967923712 is a `hidden beast` number, since 6 + 8 + 4 + 80 + 96 + 7 + 92 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 214813138 + ... + 215131694.

Almost surely, 2^{68480967923712} 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 68480967923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100733104672200).

68480967923712 is an abundant number, since it is smaller than the sum of its proper divisors (132985241420688).

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

68480967923712 is a wasteful number, since it uses less digits than its factorization.

68480967923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318801 (or 318778 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 68480967923712 in words is "sixty-eight trillion, four hundred eighty billion, nine hundred sixty-seven million, nine hundred twenty-three thousand, seven hundred twelve".