6810826656 has 96 divisors (see below), whose sum is σ = 18428570496. Its totient is φ = 2201472000.

The previous prime is 6810826567. The next prime is 6810826661. The reversal of 6810826656 is 6566280186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 407586 + ... + 423966.

It is an arithmetic number, because the mean of its divisors is an integer number (191964276).

Almost surely, 2^6810826656 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 6810826656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214285248).

6810826656 is an abundant number, since it is smaller than the sum of its proper divisors (11617743840).

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

6810826656 is a wasteful number, since it uses less digits than its factorization.

6810826656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526 (or 16518 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6810826656 is about 82527.7326478803. The cubic root of 6810826656 is about 1895.5414066501.

The spelling of 6810826656 in words is "six billion, eight hundred ten million, eight hundred twenty-six thousand, six hundred fifty-six".