4068793600 has 108 divisors (see below), whose sum is σ = 10663590924. Its totient is φ = 1531740160.

The previous prime is 4068793579. The next prime is 4068793607. The reversal of 4068793600 is 63978604.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48219136 + 4020574464 = 6944^2 + 63408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068793607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 90102 + ... + 127498.

It is an arithmetic number, because the mean of its divisors is an integer number (98736953).

Almost surely, 2^4068793600 is an apocalyptic number.

4068793600 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 4068793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331795462).

4068793600 is an abundant number, since it is smaller than the sum of its proper divisors (6594797324).

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

4068793600 is a wasteful number, since it uses less digits than its factorization.

4068793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37440 (or 37421 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 4068793600 is about 63787.0958736953. The cubic root of 4068793600 is about 1596.4496276121.

The spelling of 4068793600 in words is "four billion, sixty-eight million, seven hundred ninety-three thousand, six hundred".