68185442304 has 864 divisors, whose sum is σ = 250584384960. Its totient is φ = 18130894848.

The previous prime is 68185442293. The next prime is 68185442359. The reversal of 68185442304 is 40324458186.

68185442304 is a `hidden beast` number, since 6 + 81 + 8 + 544 + 23 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×68185442304² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68185442304.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1842849774 + ... + 1842849810.

Almost surely, 2^68185442304 is an apocalyptic number.

68185442304 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 68185442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125292192480).

68185442304 is an abundant number, since it is smaller than the sum of its proper divisors (182398942656).

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

68185442304 is an equidigital number, since it uses as much as digits as its factorization.

68185442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 68185442304 in words is "sixty-eight billion, one hundred eighty-five million, four hundred forty-two thousand, three hundred four".