4676485120 has 256 divisors, whose sum is σ = 12570137280. Its totient is φ = 1660944384.

The previous prime is 4676485117. The next prime is 4676485217. The reversal of 4676485120 is 215846764.

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

It is a congruent number.

It is an unprimeable number.

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, 64061404 + ... + 64061476.

Almost surely, 2^4676485120 is an apocalyptic number.

4676485120 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 4676485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285068640).

4676485120 is an abundant number, since it is smaller than the sum of its proper divisors (7893652160).

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

4676485120 is an equidigital number, since it uses as much as digits as its factorization.

4676485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 4676485120 is about 68384.8310665457. The cubic root of 4676485120 is about 1672.2704628751.

The spelling of 4676485120 in words is "four billion, six hundred seventy-six million, four hundred eighty-five thousand, one hundred twenty".