4992635232 has 336 divisors, whose sum is σ = 16126226928. Its totient is φ = 1511654400.

The previous prime is 4992635201. The next prime is 4992635239. The reversal of 4992635232 is 2325362994.

4992635232 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 635 + 2 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992635239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30629583 + ... + 30629745.

It is an arithmetic number, because the mean of its divisors is an integer number (47994723).

Almost surely, 2^4992635232 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 4992635232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063113464).

4992635232 is an abundant number, since it is smaller than the sum of its proper divisors (11133591696).

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

4992635232 is a wasteful number, since it uses less digits than its factorization.

4992635232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 4992635232 is about 70658.5821539040. The cubic root of 4992635232 is about 1709.1359623801.

It can be divided in two parts, 49926 and 35232, that added together give a palindrome (85158).

The spelling of 4992635232 in words is "four billion, nine hundred ninety-two million, six hundred thirty-five thousand, two hundred thirty-two".