6305540720 has 160 divisors (see below), whose sum is σ = 15892018560. Its totient is φ = 2326056960.

The previous prime is 6305540719. The next prime is 6305540741. The reversal of 6305540720 is 270455036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23975309 + ... + 23975571.

It is an arithmetic number, because the mean of its divisors is an integer number (99325116).

Almost surely, 2^6305540720 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 6305540720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7946009280).

6305540720 is an abundant number, since it is smaller than the sum of its proper divisors (9586477840).

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

6305540720 is a wasteful number, since it uses less digits than its factorization.

6305540720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 6305540720 is about 79407.4349163855. The cubic root of 6305540720 is about 1847.4560329339.

Adding to 6305540720 its reverse (270455036), we get a palindrome (6575995756).

The spelling of 6305540720 in words is "six billion, three hundred five million, five hundred forty thousand, seven hundred twenty".