6813563504 has 40 divisors (see below), whose sum is σ = 14445027840. Its totient is φ = 3087691200.

The previous prime is 6813563479. The next prime is 6813563507. The reversal of 6813563504 is 4053653186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813563507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224 + ... + 116735.

It is an arithmetic number, because the mean of its divisors is an integer number (361125696).

Almost surely, 2^6813563504 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 6813563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222513920).

6813563504 is an abundant number, since it is smaller than the sum of its proper divisors (7631464336).

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

6813563504 is a wasteful number, since it uses less digits than its factorization.

6813563504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117309 (or 117303 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 6813563504 is about 82544.3123661467. The cubic root of 6813563504 is about 1895.7952727489.

The spelling of 6813563504 in words is "six billion, eight hundred thirteen million, five hundred sixty-three thousand, five hundred four".