6813905436 has 72 divisors (see below), whose sum is σ = 19033218960. Its totient is φ = 2095634592.

The previous prime is 6813905407. The next prime is 6813905437. The reversal of 6813905436 is 6345093186.

6813905436 is a `hidden beast` number, since 6 + 8 + 13 + 90 + 543 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6813905391 and 6813905400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6813905437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091911 + ... + 3094113.

Almost surely, 2^6813905436 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 6813905436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516609480).

6813905436 is an abundant number, since it is smaller than the sum of its proper divisors (12219313524).

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

6813905436 is a wasteful number, since it uses less digits than its factorization.

6813905436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6813905436 is about 82546.3835428300. The cubic root of 6813905436 is about 1895.8269850937.

The spelling of 6813905436 in words is "six billion, eight hundred thirteen million, nine hundred five thousand, four hundred thirty-six".