68712344064 has 1260 divisors, whose sum is σ = 273928401054. Its totient is φ = 17055940608.

The previous prime is 68712343919. The next prime is 68712344069. The reversal of 68712344064 is 46044321786.

68712344064 is a `hidden beast` number, since 6 + 8 + 7 + 1 + 234 + 406 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 62996984064 + 5715360000 = 250992^2 + 75600^2 .

It is not an unprimeable number, because it can be changed into a prime (68712344069) by changing a digit.

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 125 ways as a sum of consecutive naturals, for example, 4041902584 + ... + 4041902600.

Almost surely, 2^68712344064 is an apocalyptic number.

68712344064 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 68712344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136964200527).

68712344064 is an abundant number, since it is smaller than the sum of its proper divisors (205216056990).

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

68712344064 is an equidigital number, since it uses as much as digits as its factorization.

68712344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 68712344064 in words is "sixty-eight billion, seven hundred twelve million, three hundred forty-four thousand, sixty-four".