4785962580 has 288 divisors, whose sum is σ = 17149466880. Its totient is φ = 1057536000.

The previous prime is 4785962561. The next prime is 4785962581. The reversal of 4785962580 is 852695874.

4785962580 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 9 + 625 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785962581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11701416 + ... + 11701824.

It is an arithmetic number, because the mean of its divisors is an integer number (59546760).

Almost surely, 2^4785962580 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 4785962580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574733440).

4785962580 is an abundant number, since it is smaller than the sum of its proper divisors (12363504300).

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

4785962580 is a wasteful number, since it uses less digits than its factorization.

4785962580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 4785962580 is about 69180.6517749002. The cubic root of 4785962580 is about 1685.2193335397.

The spelling of 4785962580 in words is "four billion, seven hundred eighty-five million, nine hundred sixty-two thousand, five hundred eighty".