4829784960 has 768 divisors, whose sum is σ = 21097843200. Its totient is φ = 923811840.

The previous prime is 4829784929. The next prime is 4829784997. The reversal of 4829784960 is 694879284.

It is a self number, because there is not a number n which added to its sum of digits gives 4829784960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13453261 + ... + 13453619.

It is an arithmetic number, because the mean of its divisors is an integer number (27471150).

Almost surely, 2^4829784960 is an apocalyptic number.

4829784960 is a gapful number since it is divisible by the number (40) 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 4829784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

4829784960 is an abundant number, since it is smaller than the sum of its proper divisors (16268058240).

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

4829784960 is a wasteful number, since it uses less digits than its factorization.

4829784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The square root of 4829784960 is about 69496.6543079593. The cubic root of 4829784960 is about 1690.3472507501.

The spelling of 4829784960 in words is "four billion, eight hundred twenty-nine million, seven hundred eighty-four thousand, nine hundred sixty".