4633795584 has 264 divisors, whose sum is σ = 14949846912. Its totient is φ = 1370234880.

The previous prime is 4633795583. The next prime is 4633795657. The reversal of 4633795584 is 4855973364.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 4633795584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633795583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4358637 + ... + 4359699.

It is an arithmetic number, because the mean of its divisors is an integer number (56628208).

Almost surely, 2^4633795584 is an apocalyptic number.

4633795584 is a gapful number since it is divisible by the number (44) 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 4633795584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474923456).

4633795584 is an abundant number, since it is smaller than the sum of its proper divisors (10316051328).

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

4633795584 is a wasteful number, since it uses less digits than its factorization.

4633795584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1122 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 4633795584 is about 68071.9882477367. The cubic root of 4633795584 is about 1667.1664313173.

The spelling of 4633795584 in words is "four billion, six hundred thirty-three million, seven hundred ninety-five thousand, five hundred eighty-four".