4785505920 has 512 divisors, whose sum is σ = 18548006400. Its totient is φ = 1173491712.

The previous prime is 4785505903. The next prime is 4785505931. The reversal of 4785505920 is 295055874.

4785505920 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 50 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 18195709 + ... + 18195971.

It is an arithmetic number, because the mean of its divisors is an integer number (36226575).

Almost surely, 2^4785505920 is an apocalyptic number.

4785505920 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 4785505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9274003200).

4785505920 is an abundant number, since it is smaller than the sum of its proper divisors (13762500480).

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

4785505920 is an equidigital number, since it uses as much as digits as its factorization.

4785505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 4785505920 is about 69177.3512068798. The cubic root of 4785505920 is about 1685.1657325677.

The spelling of 4785505920 in words is "four billion, seven hundred eighty-five million, five hundred five thousand, nine hundred twenty".