4785716880 has 480 divisors, whose sum is σ = 19220198400. Its totient is φ = 1044062208.

The previous prime is 4785716867. The next prime is 4785716893. The reversal of 4785716880 is 886175874.

It is a happy number.

4785716880 is a `hidden beast` number, since 4 + 7 + 8 + 571 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4785716867) and next prime (4785716893).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20023801 + ... + 20024039.

It is an arithmetic number, because the mean of its divisors is an integer number (40042080).

Almost surely, 2^4785716880 is an apocalyptic number.

4785716880 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 4785716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610099200).

4785716880 is an abundant number, since it is smaller than the sum of its proper divisors (14434481520).

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

4785716880 is a wasteful number, since it uses less digits than its factorization.

4785716880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 4785716880 is about 69178.8759665839. The cubic root of 4785716880 is about 1685.1904946545.

The spelling of 4785716880 in words is "four billion, seven hundred eighty-five million, seven hundred sixteen thousand, eight hundred eighty".