6680512512 has 144 divisors (see below), whose sum is σ = 19376049420. Its totient is φ = 2217443328.

The previous prime is 6680512483. The next prime is 6680512519. The reversal of 6680512512 is 2152150866.

6680512512 is a `hidden beast` number, since 66 + 80 + 5 + 1 + 2 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5621400576 + 1059111936 = 74976^2 + 32544^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6680512519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5399958 + ... + 5401194.

Almost surely, 2^6680512512 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 6680512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688024710).

6680512512 is an abundant number, since it is smaller than the sum of its proper divisors (12695536908).

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

6680512512 is a wasteful number, since it uses less digits than its factorization.

6680512512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 6680512512 is about 81734.4022551092. The cubic root of 6680512512 is about 1883.3741007143.

The spelling of 6680512512 in words is "six billion, six hundred eighty million, five hundred twelve thousand, five hundred twelve".