4806328320 has 480 divisors, whose sum is σ = 17835733440. Its totient is φ = 1226833920.

The previous prime is 4806328291. The next prime is 4806328337. The reversal of 4806328320 is 238236084.

4806328320 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×4806328320³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90685414 + ... + 90685466.

It is an arithmetic number, because the mean of its divisors is an integer number (37157778).

Almost surely, 2^4806328320 is an apocalyptic number.

4806328320 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 4806328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917866720).

4806328320 is an abundant number, since it is smaller than the sum of its proper divisors (13029405120).

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

4806328320 is an equidigital number, since it uses as much as digits as its factorization.

4806328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4806328320 is about 69327.6879752960. The cubic root of 4806328320 is about 1687.6063261400.

The spelling of 4806328320 in words is "four billion, eight hundred six million, three hundred twenty-eight thousand, three hundred twenty".