4628824641 has 18 divisors (see below), whose sum is σ = 7777685682. Its totient is φ = 2645042400.

The previous prime is 4628824639. The next prime is 4628824663. The reversal of 4628824641 is 1464288264.

It can be written as a sum of positive squares in only one way, i.e., 4615164225 + 13660416 = 67935^2 + 3696^2 .

It is not a de Polignac number, because 4628824641 - 2¹ = 4628824639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4628824621) 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 17 ways as a sum of consecutive naturals, for example, 5247660 + ... + 5248541.

It is an arithmetic number, because the mean of its divisors is an integer number (432093649).

Almost surely, 2^4628824641 is an apocalyptic number.

It is an amenable number.

4628824641 is a deficient number, since it is larger than the sum of its proper divisors (3148861041).

4628824641 is a wasteful number, since it uses less digits than its factorization.

4628824641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496221 (or 10496211 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 4628824641 is about 68035.4660526405. The cubic root of 4628824641 is about 1666.5700624318.

The spelling of 4628824641 in words is "four billion, six hundred twenty-eight million, eight hundred twenty-four thousand, six hundred forty-one".