4032735864 has 128 divisors (see below), whose sum is σ = 10890374400. Its totient is φ = 1240565760.

The previous prime is 4032735841. The next prime is 4032735881. The reversal of 4032735864 is 4685372304.

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 31 ways as a sum of consecutive naturals, for example, 3142567 + ... + 3143849.

It is an arithmetic number, because the mean of its divisors is an integer number (85081050).

Almost surely, 2^4032735864 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 4032735864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445187200).

4032735864 is an abundant number, since it is smaller than the sum of its proper divisors (6857638536).

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

4032735864 is a wasteful number, since it uses less digits than its factorization.

4032735864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 4032735864 is about 63503.8255855504. The cubic root of 4032735864 is about 1591.7197041520.

The spelling of 4032735864 in words is "four billion, thirty-two million, seven hundred thirty-five thousand, eight hundred sixty-four".