4765590648 has 288 divisors, whose sum is σ = 16731187200. Its totient is φ = 1213180416.

The previous prime is 4765590623. The next prime is 4765590719. The reversal of 4765590648 is 8460955674.

4765590648 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 590 + 6 + 48 = 666.

It is a super-3 number, since 3×4765590648³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4765590594 and 4765590603.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1328265 + ... + 1331847.

It is an arithmetic number, because the mean of its divisors is an integer number (58094400).

Almost surely, 2^4765590648 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 4765590648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365593600).

4765590648 is an abundant number, since it is smaller than the sum of its proper divisors (11965596552).

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

4765590648 is a wasteful number, since it uses less digits than its factorization.

4765590648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4765590648 is about 69033.2575502562. The cubic root of 4765590648 is about 1682.8248308679.

The spelling of 4765590648 in words is "four billion, seven hundred sixty-five million, five hundred ninety thousand, six hundred forty-eight".