68224649822208 has 1536 divisors, whose sum is σ = 237336271257600. Its totient is φ = 19203725721600.

The previous prime is 68224649822159. The next prime is 68224649822209. The reversal of 68224649822208 is 80222894642286.

It is a happy number.

68224649822208 is a `hidden beast` number, since 6 + 82 + 2 + 46 + 498 + 2 + 2 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (68224649822209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357197119393 + ... + 357197119583.

It is an arithmetic number, because the mean of its divisors is an integer number (154515801600).

Almost surely, 2^{68224649822208} is an apocalyptic number.

68224649822208 is a gapful number since it is divisible by the number (68) 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 68224649822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118668135628800).

68224649822208 is an abundant number, since it is smaller than the sum of its proper divisors (169111621435392).

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

68224649822208 is a wasteful number, since it uses less digits than its factorization.

68224649822208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 68224649822208 in words is "sixty-eight trillion, two hundred twenty-four billion, six hundred forty-nine million, eight hundred twenty-two thousand, two hundred eight".