6315775136 has 96 divisors (see below), whose sum is σ = 13939128000. Its totient is φ = 2791987200.

The previous prime is 6315775133. The next prime is 6315775153.

6315775136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (6315775133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7201130 + ... + 7202006.

It is an arithmetic number, because the mean of its divisors is an integer number (145199250).

Almost surely, 2^6315775136 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 6315775136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969564000).

6315775136 is an abundant number, since it is smaller than the sum of its proper divisors (7623352864).

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

6315775136 is a wasteful number, since it uses less digits than its factorization.

6315775136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1430 counting only the distinct ones).

The product of its digits is 396900, while the sum is 44.

The square root of 6315775136 is about 79471.8512178998. The cubic root of 6315775136 is about 1848.4550174822.

The spelling of 6315775136 in words is "six billion, three hundred fifteen million, seven hundred seventy-five thousand, one hundred thirty-six".