4830363720 has 768 divisors, whose sum is σ = 20664483840. Its totient is φ = 987614208.

The previous prime is 4830363649. The next prime is 4830363737. The reversal of 4830363720 is 273630384.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38034297 + ... + 38034423.

It is an arithmetic number, because the mean of its divisors is an integer number (26906880).

Almost surely, 2^4830363720 is an apocalyptic number.

4830363720 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 4830363720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332241920).

4830363720 is an abundant number, since it is smaller than the sum of its proper divisors (15834120120).

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

4830363720 is a wasteful number, since it uses less digits than its factorization.

4830363720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4830363720 is about 69500.8181246811. The cubic root of 4830363720 is about 1690.4147669582.

The spelling of 4830363720 in words is "four billion, eight hundred thirty million, three hundred sixty-three thousand, seven hundred twenty".