4992630624 has 72 divisors (see below), whose sum is σ = 14377577760. Its totient is φ = 1643136768.

The previous prime is 4992630623. The next prime is 4992630637. The reversal of 4992630624 is 4260362994.

4992630624 is a `hidden beast` number, since 4 + 9 + 9 + 2 + 630 + 6 + 2 + 4 = 666.

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

It is a super-3 number, since 3×4992630624³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4992630624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992630623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86967 + ... + 132470.

It is an arithmetic number, because the mean of its divisors is an integer number (199688580).

Almost surely, 2^4992630624 is an apocalyptic number.

It is an amenable number.

4992630624 is an abundant number, since it is smaller than the sum of its proper divisors (9384947136).

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

4992630624 is a wasteful number, since it uses less digits than its factorization.

4992630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219532 (or 219521 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4992630624 is about 70658.5495463925. The cubic root of 4992630624 is about 1709.1354365589.

The spelling of 4992630624 in words is "four billion, nine hundred ninety-two million, six hundred thirty thousand, six hundred twenty-four".