6761632768 has 88 divisors (see below), whose sum is σ = 15613271424. Its totient is φ = 2892595200.

The previous prime is 6761632763. The next prime is 6761632807. The reversal of 6761632768 is 8672361676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761632763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173833 + ... + 209143.

Almost surely, 2^6761632768 is an apocalyptic number.

6761632768 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 6761632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806635712).

6761632768 is an abundant number, since it is smaller than the sum of its proper divisors (8851638656).

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

6761632768 is a wasteful number, since it uses less digits than its factorization.

6761632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35359 (or 35341 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The square root of 6761632768 is about 82229.1479221328. The cubic root of 6761632768 is about 1890.9666087578.

The spelling of 6761632768 in words is "six billion, seven hundred sixty-one million, six hundred thirty-two thousand, seven hundred sixty-eight".