4784619520 has 256 divisors, whose sum is σ = 12740004000. Its totient is φ = 1717567488.

The previous prime is 4784619493. The next prime is 4784619527. The reversal of 4784619520 is 259164874.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4784619527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90275814 + ... + 90275866.

Almost surely, 2^4784619520 is an apocalyptic number.

4784619520 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 4784619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370002000).

4784619520 is an abundant number, since it is smaller than the sum of its proper divisors (7955384480).

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

4784619520 is an equidigital number, since it uses as much as digits as its factorization.

4784619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 4784619520 is about 69170.9441890162. The cubic root of 4784619520 is about 1685.0616806544.

The spelling of 4784619520 in words is "four billion, seven hundred eighty-four million, six hundred nineteen thousand, five hundred twenty".