4005682848 has 48 divisors (see below), whose sum is σ = 11683244160. Its totient is φ = 1335227328.

The previous prime is 4005682841. The next prime is 4005682853. The reversal of 4005682848 is 8482865004.

4005682848 is a `hidden beast` number, since 4 + 0 + 0 + 568 + 2 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4005682848² = 32090990157522782208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005682841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2317240 + ... + 2318967.

It is an arithmetic number, because the mean of its divisors is an integer number (243400920).

Almost surely, 2^4005682848 is an apocalyptic number.

4005682848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4005682848 is an abundant number, since it is smaller than the sum of its proper divisors (7677561312).

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

4005682848 is a wasteful number, since it uses less digits than its factorization.

4005682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636226 (or 4636212 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4005682848 is about 63290.4641158524. The cubic root of 4005682848 is about 1588.1524428182.

The spelling of 4005682848 in words is "four billion, five million, six hundred eighty-two thousand, eight hundred forty-eight".