4829785632 has 72 divisors (see below), whose sum is σ = 15696809856. Its totient is φ = 1379938176.

The previous prime is 4829785619. The next prime is 4829785637. The reversal of 4829785632 is 2365879284.

4829785632 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 78 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4829785637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195848 + ... + 1199879.

It is an arithmetic number, because the mean of its divisors is an integer number (218011248).

Almost surely, 2^4829785632 is an apocalyptic number.

4829785632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4829785632 is an abundant number, since it is smaller than the sum of its proper divisors (10867024224).

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

4829785632 is a wasteful number, since it uses less digits than its factorization.

4829785632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395750 (or 2395739 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4829785632 is about 69496.6591427243. The cubic root of 4829785632 is about 1690.3473291465.

It can be divided in two parts, 4 and 829785632, that added together give a square (829785636 = 28806²).

The spelling of 4829785632 in words is "four billion, eight hundred twenty-nine million, seven hundred eighty-five thousand, six hundred thirty-two".