4068578641800 has 192 divisors, whose sum is σ = 13358207966400. Its totient is φ = 1020850790400.

The previous prime is 4068578641793. The next prime is 4068578641847. The reversal of 4068578641800 is 81468758604.

4068578641800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4068578641800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38084460 + ... + 38191140.

It is an arithmetic number, because the mean of its divisors is an integer number (69573999825).

Almost surely, 2^{4068578641800} is an apocalyptic number.

4068578641800 is a gapful number since it is divisible by the number (40) 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 4068578641800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679103983200).

4068578641800 is an abundant number, since it is smaller than the sum of its proper divisors (9289629324600).

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

4068578641800 is a wasteful number, since it uses less digits than its factorization.

4068578641800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110456 (or 110447 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 4068578641800 in words is "four trillion, sixty-eight billion, five hundred seventy-eight million, six hundred forty-one thousand, eight hundred".