4785186560 has 288 divisors, whose sum is σ = 14608484352. Its totient is φ = 1458339840.

The previous prime is 4785186521. The next prime is 4785186569. The reversal of 4785186560 is 656815874.

It is a super-3 number, since 3×4785186560³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4785186499 and 4785186508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785186569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4631804 + ... + 4632836.

It is an arithmetic number, because the mean of its divisors is an integer number (50723904).

Almost surely, 2^4785186560 is an apocalyptic number.

4785186560 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 4785186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304242176).

4785186560 is an abundant number, since it is smaller than the sum of its proper divisors (9823297792).

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

4785186560 is a wasteful number, since it uses less digits than its factorization.

4785186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

The square root of 4785186560 is about 69175.0428984327. The cubic root of 4785186560 is about 1685.1282453086.

The spelling of 4785186560 in words is "four billion, seven hundred eighty-five million, one hundred eighty-six thousand, five hundred sixty".