4829521536 has 576 divisors, whose sum is σ = 17721072000. Its totient is φ = 1290691584.

The previous prime is 4829521511. The next prime is 4829521553. The reversal of 4829521536 is 6351259284.

4829521536 is a `hidden beast` number, since 4 + 8 + 2 + 95 + 21 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 4829521491 and 4829521500.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61133145 + ... + 61133223.

It is an arithmetic number, because the mean of its divisors is an integer number (30765750).

Almost surely, 2^4829521536 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 4829521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860536000).

4829521536 is an abundant number, since it is smaller than the sum of its proper divisors (12891550464).

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

4829521536 is a wasteful number, since it uses less digits than its factorization.

4829521536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4829521536 is about 69494.7590541906. The cubic root of 4829521536 is about 1690.3165188001.

The spelling of 4829521536 in words is "four billion, eight hundred twenty-nine million, five hundred twenty-one thousand, five hundred thirty-six".