6761390688 has 288 divisors, whose sum is σ = 22468223232. Its totient is φ = 1909555200.

The previous prime is 6761390627. The next prime is 6761390717. The reversal of 6761390688 is 8860931676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6761390688² = 91432808071546226688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2608273 + ... + 2610863.

It is an arithmetic number, because the mean of its divisors is an integer number (78014664).

Almost surely, 2^6761390688 is an apocalyptic number.

6761390688 is a gapful number since it is divisible by the number (68) 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 6761390688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234111616).

6761390688 is an abundant number, since it is smaller than the sum of its proper divisors (15706832544).

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

6761390688 is a wasteful number, since it uses less digits than its factorization.

6761390688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6761390688 is about 82227.6759248369. The cubic root of 6761390688 is about 1890.9440416908.

The spelling of 6761390688 in words is "six billion, seven hundred sixty-one million, three hundred ninety thousand, six hundred eighty-eight".