3068218982400 has 1440 divisors, whose sum is σ = 12559879449600. Its totient is φ = 649750118400.

The previous prime is 3068218982399. The next prime is 3068218982449. The reversal of 3068218982400 is 42898128603.

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 95 ways as a sum of consecutive naturals, for example, 3338649141 + ... + 3338650059.

Almost surely, 2^{3068218982400} is an apocalyptic number.

3068218982400 is a gapful number since it is divisible by the number (30) 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 3068218982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279939724800).

3068218982400 is an abundant number, since it is smaller than the sum of its proper divisors (9491660467200).

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

3068218982400 is a wasteful number, since it uses less digits than its factorization.

3068218982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 3068218982400 in words is "three trillion, sixty-eight billion, two hundred eighteen million, nine hundred eighty-two thousand, four hundred".