68222335104 has 1024 divisors, whose sum is σ = 268849152000. Its totient is φ = 16497561600.

The previous prime is 68222335073. The next prime is 68222335117. The reversal of 68222335104 is 40153322286.

68222335104 is a `hidden beast` number, since 6 + 82 + 223 + 351 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 520781119 + ... + 520781249.

It is an arithmetic number, because the mean of its divisors is an integer number (262548000).

Almost surely, 2^68222335104 is an apocalyptic number.

68222335104 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 68222335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134424576000).

68222335104 is an abundant number, since it is smaller than the sum of its proper divisors (200626816896).

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

68222335104 is a wasteful number, since it uses less digits than its factorization.

68222335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 68222335104 in words is "sixty-eight billion, two hundred twenty-two million, three hundred thirty-five thousand, one hundred four".