6068031750144 has 1920 divisors, whose sum is σ = 23565205845720. Its totient is φ = 1541054398464.

The previous prime is 6068031750119. The next prime is 6068031750197. The reversal of 6068031750144 is 4410571308606.

6068031750144 is a `hidden beast` number, since 60 + 6 + 80 + 3 + 1 + 7 + 501 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5208035180544 + 859996569600 = 2282112^2 + 927360^2 .

It is a super-3 number, since 3×6068031750144³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6068031750144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62557028304 + ... + 62557028400.

Almost surely, 2^{6068031750144} is an apocalyptic number.

6068031750144 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 6068031750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11782602922860).

6068031750144 is an abundant number, since it is smaller than the sum of its proper divisors (17497174095576).

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

6068031750144 is an equidigital number, since it uses as much as digits as its factorization.

6068031750144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6068031750144 in words is "six trillion, sixty-eight billion, thirty-one million, seven hundred fifty thousand, one hundred forty-four".