4821957504 has 288 divisors, whose sum is σ = 17385371640. Its totient is φ = 1271531520.

The previous prime is 4821957493. The next prime is 4821957509. The reversal of 4821957504 is 4057591284.

4821957504 is a `hidden beast` number, since 4 + 82 + 19 + 57 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4821957504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4821957509) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 730539 + ... + 737109.

Almost surely, 2^4821957504 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 4821957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8692685820).

4821957504 is an abundant number, since it is smaller than the sum of its proper divisors (12563414136).

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

4821957504 is a wasteful number, since it uses less digits than its factorization.

4821957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6618 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 4821957504 is about 69440.3161283127. The cubic root of 4821957504 is about 1689.4335956555.

The spelling of 4821957504 in words is "four billion, eight hundred twenty-one million, nine hundred fifty-seven thousand, five hundred four".