4004875782 has 96 divisors (see below), whose sum is σ = 9476595648. Its totient is φ = 1218716928.

The previous prime is 4004875769. The next prime is 4004875799. The reversal of 4004875782 is 2875784004.

4004875782 is a `hidden beast` number, since 40 + 0 + 487 + 57 + 82 = 666.

It is a super-2 number, since 2×4004875782² = 32078060058500223048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 809388 + ... + 814320.

It is an arithmetic number, because the mean of its divisors is an integer number (98714538).

Almost surely, 2^4004875782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004875782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738297824).

4004875782 is an abundant number, since it is smaller than the sum of its proper divisors (5471719866).

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

4004875782 is a wasteful number, since it uses less digits than its factorization.

4004875782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4004875782 is about 63284.0879052547. The cubic root of 4004875782 is about 1588.0457752013.

The spelling of 4004875782 in words is "four billion, four million, eight hundred seventy-five thousand, seven hundred eighty-two".