6806965536 has 432 divisors, whose sum is σ = 24200467200. Its totient is φ = 1803949056.

The previous prime is 6806965511. The next prime is 6806965537. The reversal of 6806965536 is 6355696086.

6806965536 is a `hidden beast` number, since 6 + 80 + 6 + 9 + 6 + 553 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806965537) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14210545 + ... + 14211023.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 2^6806965536 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 6806965536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

6806965536 is an abundant number, since it is smaller than the sum of its proper divisors (17393501664).

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

6806965536 is a wasteful number, since it uses less digits than its factorization.

6806965536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The square root of 6806965536 is about 82504.3364678488. The cubic root of 6806965536 is about 1895.1831390127.

The spelling of 6806965536 in words is "six billion, eight hundred six million, nine hundred sixty-five thousand, five hundred thirty-six".