4735313920 has 96 divisors (see below), whose sum is σ = 11604902400. Its totient is φ = 1853636608.

The previous prime is 4735313887. The next prime is 4735313927. The reversal of 4735313920 is 293135374.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4735313920.

It is not an unprimeable number, because it can be changed into a prime (4735313927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476361 + ... + 486199.

It is an arithmetic number, because the mean of its divisors is an integer number (120884400).

Almost surely, 2^4735313920 is an apocalyptic number.

4735313920 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 4735313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5802451200).

4735313920 is an abundant number, since it is smaller than the sum of its proper divisors (6869588480).

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

4735313920 is an equidigital number, since it uses as much as digits as its factorization.

4735313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9913 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 4735313920 is about 68813.6172570517. The cubic root of 4735313920 is about 1679.2534854148.

The spelling of 4735313920 in words is "four billion, seven hundred thirty-five million, three hundred thirteen thousand, nine hundred twenty".