6511712688 has 320 divisors, whose sum is σ = 21025320960. Its totient is φ = 1916006400.

The previous prime is 6511712681. The next prime is 6511712741. The reversal of 6511712688 is 8862171156.

6511712688 is a `hidden beast` number, since 6 + 511 + 7 + 126 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6511712681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19672683 + ... + 19673013.

It is an arithmetic number, because the mean of its divisors is an integer number (65704128).

Almost surely, 2^6511712688 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 6511712688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10512660480).

6511712688 is an abundant number, since it is smaller than the sum of its proper divisors (14513608272).

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

6511712688 is a wasteful number, since it uses less digits than its factorization.

6511712688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 6511712688 is about 80695.1837968041. The cubic root of 6511712688 is about 1867.3758734292.

The spelling of 6511712688 in words is "six billion, five hundred eleven million, seven hundred twelve thousand, six hundred eighty-eight".