6811380020 has 48 divisors (see below), whose sum is σ = 14673467088. Its totient is φ = 2654346240.

The previous prime is 6811380019. The next prime is 6811380031. The reversal of 6811380020 is 200831186.

It can be written as a sum of positive squares in 8 ways, for example, as 456420496 + 6354959524 = 21364^2 + 79718^2 .

It is a congruent number.

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, 615254 + ... + 626226.

It is an arithmetic number, because the mean of its divisors is an integer number (305697231).

Almost surely, 2^6811380020 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 6811380020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336733544).

6811380020 is an abundant number, since it is smaller than the sum of its proper divisors (7862087068).

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

6811380020 is a wasteful number, since it uses less digits than its factorization.

6811380020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 6811380020 is about 82531.0851740119. The cubic root of 6811380020 is about 1895.5927413863.

The spelling of 6811380020 in words is "six billion, eight hundred eleven million, three hundred eighty thousand, twenty".