6315224256 has 378 divisors, whose sum is σ = 21082602996. Its totient is φ = 1805760000.

The previous prime is 6315224239. The next prime is 6315224263. The reversal of 6315224256 is 6524225136.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6315224256.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25160131 + ... + 25160381.

It is an arithmetic number, because the mean of its divisors is an integer number (55774082).

Almost surely, 2^6315224256 is an apocalyptic number.

6315224256 is a gapful number since it is divisible by the number (66) 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 6315224256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10541301498).

6315224256 is an abundant number, since it is smaller than the sum of its proper divisors (14767378740).

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

6315224256 is a wasteful number, since it uses less digits than its factorization.

6315224256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 286 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 6315224256 is about 79468.3852610584. The cubic root of 6315224256 is about 1848.4012734057.

The spelling of 6315224256 in words is "six billion, three hundred fifteen million, two hundred twenty-four thousand, two hundred fifty-six".