4083582464 has 80 divisors (see below), whose sum is σ = 8918939568. Its totient is φ = 1856397312.

The previous prime is 4083582463. The next prime is 4083582473. The reversal of 4083582464 is 4642853804.

It is a super-2 number, since 2×4083582464² = 33351291480576622592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4083582463) 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 7 ways as a sum of consecutive naturals, for example, 441374 + ... + 450530.

Almost surely, 2^4083582464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4083582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459469784).

4083582464 is an abundant number, since it is smaller than the sum of its proper divisors (4835357104).

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

4083582464 is an equidigital number, since it uses as much as digits as its factorization.

4083582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The square root of 4083582464 is about 63902.9143623356. The cubic root of 4083582464 is about 1598.3814966647.

The spelling of 4083582464 in words is "four billion, eighty-three million, five hundred eighty-two thousand, four hundred sixty-four".