4785320736 has 144 divisors (see below), whose sum is σ = 15579817344. Its totient is φ = 1364815872.

The previous prime is 4785320731. The next prime is 4785320767. The reversal of 4785320736 is 6370235874.

4785320736 is a `hidden beast` number, since 47 + 8 + 532 + 0 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4785320691 and 4785320700.

It is not an unprimeable number, because it can be changed into a prime (4785320731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1355005 + ... + 1358531.

It is an arithmetic number, because the mean of its divisors is an integer number (108193176).

Almost surely, 2^4785320736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4785320736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789908672).

4785320736 is an abundant number, since it is smaller than the sum of its proper divisors (10794496608).

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

4785320736 is a wasteful number, since it uses less digits than its factorization.

4785320736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4785320736 is about 69176.0127211738. The cubic root of 4785320736 is about 1685.1439954193.

The spelling of 4785320736 in words is "four billion, seven hundred eighty-five million, three hundred twenty thousand, seven hundred thirty-six".