4068583354368 has 624 divisors, whose sum is σ = 13276249328160. Its totient is φ = 1237455470592.

The previous prime is 4068583354357. The next prime is 4068583354427. The reversal of 4068583354368 is 8634533858604.

4068583354368 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 5 + 83 + 3 + 543 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×4068583354368² (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, 1151592730 + ... + 1151596262.

It is an arithmetic number, because the mean of its divisors is an integer number (21276040590).

Almost surely, 2^{4068583354368} is an apocalyptic number.

4068583354368 is a gapful number since it is divisible by the number (48) 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 4068583354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638124664080).

4068583354368 is an abundant number, since it is smaller than the sum of its proper divisors (9207665973792).

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

4068583354368 is an equidigital number, since it uses as much as digits as its factorization.

4068583354368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 4068583354368 in words is "four trillion, sixty-eight billion, five hundred eighty-three million, three hundred fifty-four thousand, three hundred sixty-eight".