4082093568 has 360 divisors, whose sum is σ = 13917669480. Its totient is φ = 1148313600.

The previous prime is 4082093531. The next prime is 4082093573. The reversal of 4082093568 is 8653902804.

4082093568 is a `hidden beast` number, since 4 + 0 + 82 + 0 + 9 + 3 + 568 = 666.

4082093568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22804903 + ... + 22805081.

It is an arithmetic number, because the mean of its divisors is an integer number (38660193).

Almost surely, 2^4082093568 is an apocalyptic number.

4082093568 is a gapful number since it is divisible by the number (48) 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 4082093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958834740).

4082093568 is an abundant number, since it is smaller than the sum of its proper divisors (9835575912).

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

4082093568 is a wasteful number, since it uses less digits than its factorization.

4082093568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4082093568 is about 63891.2636281362. The cubic root of 4082093568 is about 1598.1872135707.

The spelling of 4082093568 in words is "four billion, eighty-two million, ninety-three thousand, five hundred sixty-eight".