6315416536 has 256 divisors, whose sum is σ = 15567552000. Its totient is φ = 2357268480.

The previous prime is 6315416501. The next prime is 6315416537. The reversal of 6315416536 is 6356145136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315416537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27104676 + ... + 27104908.

It is an arithmetic number, because the mean of its divisors is an integer number (60810750).

Almost surely, 2^6315416536 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 6315416536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776000).

6315416536 is an abundant number, since it is smaller than the sum of its proper divisors (9252135464).

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

6315416536 is a wasteful number, since it uses less digits than its factorization.

6315416536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its digits is 194400, while the sum is 40.

The square root of 6315416536 is about 79469.5950411225. The cubic root of 6315416536 is about 1848.4200326756.

The spelling of 6315416536 in words is "six billion, three hundred fifteen million, four hundred sixteen thousand, five hundred thirty-six".