6810986952 has 256 divisors, whose sum is σ = 24092467200. Its totient is φ = 1731248640.

The previous prime is 6810986891. The next prime is 6810986989. The reversal of 6810986952 is 2596890186.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 777348 + ... + 786060.

It is an arithmetic number, because the mean of its divisors is an integer number (94111200).

Almost surely, 2^6810986952 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 6810986952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046233600).

6810986952 is an abundant number, since it is smaller than the sum of its proper divisors (17281480248).

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

6810986952 is a wasteful number, since it uses less digits than its factorization.

6810986952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8793 (or 8783 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 6810986952 is about 82528.7038066151. The cubic root of 6810986952 is about 1895.5562773522.

The spelling of 6810986952 in words is "six billion, eight hundred ten million, nine hundred eighty-six thousand, nine hundred fifty-two".