6810400656 has 60 divisors (see below), whose sum is σ = 19328137920. Its totient is φ = 2238156480.

The previous prime is 6810400631. The next prime is 6810400669. The reversal of 6810400656 is 6560040186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6810400656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322836 + ... + 343283.

It is an arithmetic number, because the mean of its divisors is an integer number (322135632).

Almost surely, 2^6810400656 is an apocalyptic number.

It is an amenable number.

6810400656 is an abundant number, since it is smaller than the sum of its proper divisors (12517737264).

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

6810400656 is a wasteful number, since it uses less digits than its factorization.

6810400656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666204 (or 666195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6810400656 is about 82525.1516569343. The cubic root of 6810400656 is about 1895.5018853842.

The spelling of 6810400656 in words is "six billion, eight hundred ten million, four hundred thousand, six hundred fifty-six".