6315300000 has 288 divisors, whose sum is σ = 23032900800. Its totient is φ = 1683360000.

The previous prime is 6315299993. The next prime is 6315300001. The reversal of 6315300000 is 35136.

6315300000 is a `hidden beast` number, since 631 + 5 + 30 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6315300001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2698831 + ... + 2701169.

It is an arithmetic number, because the mean of its divisors is an integer number (79975350).

Almost surely, 2^6315300000 is an apocalyptic number.

6315300000 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 6315300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516450400).

6315300000 is an abundant number, since it is smaller than the sum of its proper divisors (16717600800).

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

6315300000 is an equidigital number, since it uses as much as digits as its factorization.

6315300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 6315300000 is about 79468.8618265041. The cubic root of 6315300000 is about 1848.4086632064.

Adding to 6315300000 its reverse (35136), we get a palindrome (6315335136).

The spelling of 6315300000 in words is "six billion, three hundred fifteen million, three hundred thousand".