6760000000 has 240 divisors, whose sum is σ = 18282082104. Its totient is φ = 2496000000.

The previous prime is 6759999991. The next prime is 6760000001. The reversal of 6760000000 is 676.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 5237127424 + 1522872576 = 72368^2 + 39024^2 .

It is not an unprimeable number, because it can be changed into a prime (6760000001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519999994 + ... + 520000006.

Almost surely, 2^6760000000 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 6760000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141041052).

6760000000 is an abundant number, since it is smaller than the sum of its proper divisors (11522082104).

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

6760000000 is an frugal number, since it uses more digits than its factorization.

6760000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 6760000000 is about 82219.2191643779. The cubic root of 6760000000 is about 1890.8143891966.

Adding to 6760000000 its reverse (676), we get a palindrome (6760000676).

6760000000 divided by its reverse (676) gives a 7-th power (10000000 = 10⁷).

The spelling of 6760000000 in words is "six billion, seven hundred sixty million", and thus it is an aban number.