4633432672 has 72 divisors (see below), whose sum is σ = 10100046600. Its totient is φ = 2090711040.

The previous prime is 4633432669. The next prime is 4633432679. The reversal of 4633432672 is 2762343364.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633432679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533904 + ... + 542512.

It is an arithmetic number, because the mean of its divisors is an integer number (140278425).

Almost surely, 2^4633432672 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 4633432672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050023300).

4633432672 is an abundant number, since it is smaller than the sum of its proper divisors (5466613928).

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

4633432672 is a wasteful number, since it uses less digits than its factorization.

4633432672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8761 counting only the distinct ones).

The product of its digits is 435456, while the sum is 40.

The square root of 4633432672 is about 68069.3225469447. The cubic root of 4633432672 is about 1667.1229068467.

The spelling of 4633432672 in words is "four billion, six hundred thirty-three million, four hundred thirty-two thousand, six hundred seventy-two".