6305785260 has 96 divisors (see below), whose sum is σ = 17933905920. Its totient is φ = 1655188992.

The previous prime is 6305785253. The next prime is 6305785261. The reversal of 6305785260 is 625875036.

It is not an unprimeable number, because it can be changed into a prime (6305785261) 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, 2815221 + ... + 2817459.

It is an arithmetic number, because the mean of its divisors is an integer number (186811520).

Almost surely, 2^6305785260 is an apocalyptic number.

6305785260 is a gapful number since it is divisible by the number (60) 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 6305785260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966952960).

6305785260 is an abundant number, since it is smaller than the sum of its proper divisors (11628120660).

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

6305785260 is a wasteful number, since it uses less digits than its factorization.

6305785260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 6305785260 is about 79408.9746817071. The cubic root of 6305785260 is about 1847.4799151606.

The spelling of 6305785260 in words is "six billion, three hundred five million, seven hundred eighty-five thousand, two hundred sixty".