4823735616 has 252 divisors, whose sum is σ = 16167959028. Its totient is φ = 1371009024.

The previous prime is 4823735573. The next prime is 4823735633. The reversal of 4823735616 is 6165373284.

4823735616 is a `hidden beast` number, since 4 + 8 + 23 + 7 + 3 + 5 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420086016 + 4403649600 = 20496^2 + 66360^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7817740 + ... + 7818356.

Almost surely, 2^4823735616 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 4823735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083979514).

4823735616 is an abundant number, since it is smaller than the sum of its proper divisors (11344223412).

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

4823735616 is a wasteful number, since it uses less digits than its factorization.

4823735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 906 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4823735616 is about 69453.1181157477. The cubic root of 4823735616 is about 1689.6412314534.

The spelling of 4823735616 in words is "four billion, eight hundred twenty-three million, seven hundred thirty-five thousand, six hundred sixteen".