4068006297600 has 864 divisors, whose sum is σ = 15877359783936. Its totient is φ = 899363635200.

The previous prime is 4068006297577. The next prime is 4068006297611. The reversal of 4068006297600 is 67926008604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4068006297600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2133195847 + ... + 2133197753.

It is an arithmetic number, because the mean of its divisors is an integer number (18376573824).

Almost surely, 2^{4068006297600} is an apocalyptic number.

4068006297600 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 4068006297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938679891968).

4068006297600 is an abundant number, since it is smaller than the sum of its proper divisors (11809353486336).

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

4068006297600 is an equidigital number, since it uses as much as digits as its factorization.

4068006297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 4068006297600 in words is "four trillion, sixty-eight billion, six million, two hundred ninety-seven thousand, six hundred".