4068482880 has 448 divisors, whose sum is σ = 16812085248. Its totient is φ = 808304640.

The previous prime is 4068482867. The next prime is 4068482881. The reversal of 4068482880 is 882848604.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068482881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1698964 + ... + 1701356.

It is an arithmetic number, because the mean of its divisors is an integer number (37526976).

Almost surely, 2^4068482880 is an apocalyptic number.

4068482880 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 4068482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406042624).

4068482880 is an abundant number, since it is smaller than the sum of its proper divisors (12743602368).

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

4068482880 is a wasteful number, since it uses less digits than its factorization.

4068482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 4068482880 is about 63784.6602248534. The cubic root of 4068482880 is about 1596.4089880922.

The spelling of 4068482880 in words is "four billion, sixty-eight million, four hundred eighty-two thousand, eight hundred eighty".