6511290968 has 64 divisors (see below), whose sum is σ = 15045576000. Its totient is φ = 2572549632.

The previous prime is 6511290959. The next prime is 6511290977. The reversal of 6511290968 is 8690921156.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6511290959) and next prime (6511290977).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598118 + ... + 608906.

It is an arithmetic number, because the mean of its divisors is an integer number (235087125).

Almost surely, 2^6511290968 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 6511290968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522788000).

6511290968 is an abundant number, since it is smaller than the sum of its proper divisors (8534285032).

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

6511290968 is a wasteful number, since it uses less digits than its factorization.

6511290968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 6511290968 is about 80692.5707113115. The cubic root of 6511290968 is about 1867.3355600845.

The spelling of 6511290968 in words is "six billion, five hundred eleven million, two hundred ninety thousand, nine hundred sixty-eight".