6806877660 has 192 divisors, whose sum is σ = 23258188800. Its totient is φ = 1639008000.

The previous prime is 6806877659. The next prime is 6806877667. The reversal of 6806877660 is 667786086.

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

It is a junction number, because it is equal to n+sod(n) for n = 6806877597 and 6806877606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806877667) by changing a digit.

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, 893146 + ... + 900734.

It is an arithmetic number, because the mean of its divisors is an integer number (121136400).

Almost surely, 2^6806877660 is an apocalyptic number.

6806877660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6806877660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11629094400).

6806877660 is an abundant number, since it is smaller than the sum of its proper divisors (16451311140).

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

6806877660 is a wasteful number, since it uses less digits than its factorization.

6806877660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 6806877660 is about 82503.8039123046. The cubic root of 6806877660 is about 1895.1749835515.

The spelling of 6806877660 in words is "six billion, eight hundred six million, eight hundred seventy-seven thousand, six hundred sixty".