4635024768 has 768 divisors, whose sum is σ = 17108582400. Its totient is φ = 1231718400.

The previous prime is 4635024763. The next prime is 4635024773. The reversal of 4635024768 is 8674205364.

4635024768 is a `hidden beast` number, since 4 + 635 + 0 + 2 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4635024763) and next prime (4635024773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635024763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149516913 + ... + 149516943.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^4635024768 is an apocalyptic number.

4635024768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4635024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8554291200).

4635024768 is an abundant number, since it is smaller than the sum of its proper divisors (12473557632).

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

4635024768 is a wasteful number, since it uses less digits than its factorization.

4635024768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4635024768 is about 68081.0162086319. The cubic root of 4635024768 is about 1667.3138319448.

The spelling of 4635024768 in words is "four billion, six hundred thirty-five million, twenty-four thousand, seven hundred sixty-eight".