6512217264 has 480 divisors, whose sum is σ = 23051857920. Its totient is φ = 1740082176.

The previous prime is 6512217253. The next prime is 6512217277. The reversal of 6512217264 is 4627122156.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29202657 + ... + 29202879.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 2^6512217264 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 6512217264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525928960).

6512217264 is an abundant number, since it is smaller than the sum of its proper divisors (16539640656).

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

6512217264 is a wasteful number, since it uses less digits than its factorization.

6512217264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 301 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6512217264 is about 80698.3101681813. The cubic root of 6512217264 is about 1867.4241049139.

The spelling of 6512217264 in words is "six billion, five hundred twelve million, two hundred seventeen thousand, two hundred sixty-four".