6809771736 has 384 divisors, whose sum is σ = 21888921600. Its totient is φ = 1977592320.

The previous prime is 6809771729. The next prime is 6809771737. The reversal of 6809771736 is 6371779086.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6809771737) 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 95 ways as a sum of consecutive naturals, for example, 219670041 + ... + 219670071.

It is an arithmetic number, because the mean of its divisors is an integer number (57002400).

Almost surely, 2^6809771736 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 6809771736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944460800).

6809771736 is an abundant number, since it is smaller than the sum of its proper divisors (15079149864).

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

6809771736 is a wasteful number, since it uses less digits than its factorization.

6809771736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 6809771736 is about 82521.3410942891. The cubic root of 6809771736 is about 1895.4435356235.

The spelling of 6809771736 in words is "six billion, eight hundred nine million, seven hundred seventy-one thousand, seven hundred thirty-six".