6511575264 has 72 divisors (see below), whose sum is σ = 17868505032. Its totient is φ = 2076138240.

The previous prime is 6511575227. The next prime is 6511575289. The reversal of 6511575264 is 4625751156.

It is a super-2 number, since 2×6511575264² = 84801224837473339392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13327 + ... + 114894.

It is an arithmetic number, because the mean of its divisors is an integer number (248173681).

Almost surely, 2^6511575264 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 6511575264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934252516).

6511575264 is an abundant number, since it is smaller than the sum of its proper divisors (11356929768).

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

6511575264 is a wasteful number, since it uses less digits than its factorization.

6511575264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128280 (or 128249 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 6511575264 is about 80694.3322916796. The cubic root of 6511575264 is about 1867.3627368921.

The spelling of 6511575264 in words is "six billion, five hundred eleven million, five hundred seventy-five thousand, two hundred sixty-four".