6786768690 has 192 divisors, whose sum is σ = 19555151616. Its totient is φ = 1622509056.

The previous prime is 6786768673. The next prime is 6786768731. The reversal of 6786768690 is 968676876.

It is a super-2 number, since 2×6786768690² = 92120458503128632200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13935627 + ... + 13936113.

It is an arithmetic number, because the mean of its divisors is an integer number (101849748).

Almost surely, 2^6786768690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6786768690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777575808).

6786768690 is an abundant number, since it is smaller than the sum of its proper divisors (12768382926).

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

6786768690 is a wasteful number, since it uses less digits than its factorization.

6786768690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The square root of 6786768690 is about 82381.8468474700. The cubic root of 6786768690 is about 1893.3068922433.

The spelling of 6786768690 in words is "six billion, seven hundred eighty-six million, seven hundred sixty-eight thousand, six hundred ninety".