4632807296 has 128 divisors (see below), whose sum is σ = 10431711360. Its totient is φ = 2034892800.

The previous prime is 4632807281. The next prime is 4632807299. The reversal of 4632807296 is 6927082364.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) 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 (47).

It is a self number, because there is not a number n which added to its sum of digits gives 4632807296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632807299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2892896 + ... + 2894496.

It is an arithmetic number, because the mean of its divisors is an integer number (81497745).

Almost surely, 2^4632807296 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 4632807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215855680).

4632807296 is an abundant number, since it is smaller than the sum of its proper divisors (5798904064).

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

4632807296 is a wasteful number, since it uses less digits than its factorization.

4632807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 4632807296 is about 68064.7287220040. The cubic root of 4632807296 is about 1667.0478994214.

The spelling of 4632807296 in words is "four billion, six hundred thirty-two million, eight hundred seven thousand, two hundred ninety-six".