4032075768 has 64 divisors (see below), whose sum is σ = 11536412160. Its totient is φ = 1150402176.

The previous prime is 4032075763. The next prime is 4032075821. The reversal of 4032075768 is 8675702304.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032075763) 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 15 ways as a sum of consecutive naturals, for example, 105630 + ... + 138642.

It is an arithmetic number, because the mean of its divisors is an integer number (180256440).

Almost surely, 2^4032075768 is an apocalyptic number.

It is an amenable number.

4032075768 is an abundant number, since it is smaller than the sum of its proper divisors (7504336392).

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

4032075768 is a wasteful number, since it uses less digits than its factorization.

4032075768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33756 (or 33752 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4032075768 is about 63498.6280796680. The cubic root of 4032075768 is about 1591.6328528450.

The spelling of 4032075768 in words is "four billion, thirty-two million, seventy-five thousand, seven hundred sixty-eight".