6810807040 has 72 divisors (see below), whose sum is σ = 16433514720. Its totient is φ = 2704367616.

The previous prime is 6810807037. The next prime is 6810807041. The reversal of 6810807040 is 407080186.

It is a happy number.

It is a super-2 number, since 2×6810807040² = 92774185072227123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6810806987 and 6810807005.

It is not an unprimeable number, because it can be changed into a prime (6810807041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155941 + ... + 194779.

It is an arithmetic number, because the mean of its divisors is an integer number (228243260).

Almost surely, 2^6810807040 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 6810807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216757360).

6810807040 is an abundant number, since it is smaller than the sum of its proper divisors (9622707680).

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

6810807040 is a wasteful number, since it uses less digits than its factorization.

6810807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38997 (or 38983 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 6810807040 is about 82527.6138028963. The cubic root of 6810807040 is about 1895.5395868526.

The spelling of 6810807040 in words is "six billion, eight hundred ten million, eight hundred seven thousand, forty".