4468084992 has 324 divisors, whose sum is σ = 15782173680. Its totient is φ = 1208825856.

The previous prime is 4468084991. The next prime is 4468084997. The reversal of 4468084992 is 2994808644.

It is not an unprimeable number, because it can be changed into a prime (4468084991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2143983 + ... + 2146065.

Almost surely, 2^4468084992 is an apocalyptic number.

4468084992 is a gapful number since it is divisible by the number (42) 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 4468084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891086840).

4468084992 is an abundant number, since it is smaller than the sum of its proper divisors (11314088688).

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

4468084992 is a wasteful number, since it uses less digits than its factorization.

4468084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4468084992 is about 66843.7356227194. The cubic root of 4468084992 is about 1647.0513596525.

The spelling of 4468084992 in words is "four billion, four hundred sixty-eight million, eighty-four thousand, nine hundred ninety-two".