68225780308224 has 576 divisors, whose sum is σ = 231828452352000. Its totient is φ = 17299968491520.

The previous prime is 68225780308219. The next prime is 68225780308261. The reversal of 68225780308224 is 42280308752286.

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 63 ways as a sum of consecutive naturals, for example, 415703172 + ... + 415867260.

It is an arithmetic number, because the mean of its divisors is an integer number (402479952000).

Almost surely, 2^{68225780308224} is an apocalyptic number.

68225780308224 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 68225780308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115914226176000).

68225780308224 is an abundant number, since it is smaller than the sum of its proper divisors (163602672043776).

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

68225780308224 is a wasteful number, since it uses less digits than its factorization.

68225780308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164294 (or 164280 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 68225780308224 in words is "sixty-eight trillion, two hundred twenty-five billion, seven hundred eighty million, three hundred eight thousand, two hundred twenty-four".