4873720320 has 480 divisors, whose sum is σ = 20152281600. Its totient is φ = 1113219072.

The previous prime is 4873720297. The next prime is 4873720321. The reversal of 4873720320 is 230273784.

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

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

It is not an unprimeable number, because it can be changed into a prime (4873720321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386161 + ... + 3387599.

It is an arithmetic number, because the mean of its divisors is an integer number (41983920).

Almost surely, 2^4873720320 is an apocalyptic number.

4873720320 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 4873720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10076140800).

4873720320 is an abundant number, since it is smaller than the sum of its proper divisors (15278561280).

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

4873720320 is a wasteful number, since it uses less digits than its factorization.

4873720320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4873720320 is about 69812.0356385631. The cubic root of 4873720320 is about 1695.4573438923.

The spelling of 4873720320 in words is "four billion, eight hundred seventy-three million, seven hundred twenty thousand, three hundred twenty".