68222418264 has 256 divisors, whose sum is σ = 254443392000. Its totient is φ = 16356971520.

The previous prime is 68222418263. The next prime is 68222418331. The reversal of 68222418264 is 46281422286.

68222418264 is a `hidden beast` number, since 6 + 8 + 222 + 418 + 2 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68222418263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58452 + ... + 373980.

It is an arithmetic number, because the mean of its divisors is an integer number (993919500).

Almost surely, 2^68222418264 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 68222418264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127221696000).

68222418264 is an abundant number, since it is smaller than the sum of its proper divisors (186220973736).

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

68222418264 is a wasteful number, since it uses less digits than its factorization.

68222418264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315575 (or 315565 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 68222418264 in words is "sixty-eight billion, two hundred twenty-two million, four hundred eighteen thousand, two hundred sixty-four".