6511000680 has 192 divisors, whose sum is σ = 23128934400. Its totient is φ = 1581373440.

The previous prime is 6511000651. The next prime is 6511000687. The reversal of 6511000680 is 860001156.

6511000680 is a `hidden beast` number, since 651 + 1 + 0 + 0 + 0 + 6 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6511000687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172561 + ... + 206879.

It is an arithmetic number, because the mean of its divisors is an integer number (120463200).

Almost surely, 2^6511000680 is an apocalyptic number.

6511000680 is a gapful number since it is divisible by the number (60) 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 6511000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11564467200).

6511000680 is an abundant number, since it is smaller than the sum of its proper divisors (16617933720).

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

6511000680 is a wasteful number, since it uses less digits than its factorization.

6511000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34384 (or 34377 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6511000680 is about 80690.7719630938. The cubic root of 6511000680 is about 1867.3078096654.

The spelling of 6511000680 in words is "six billion, five hundred eleven million, six hundred eighty", and thus it is an aban number.