6500564928 has 672 divisors, whose sum is σ = 23609564160. Its totient is φ = 1746800640.

The previous prime is 6500564921. The next prime is 6500564969. The reversal of 6500564928 is 8294650056.

6500564928 is a `hidden beast` number, since 6 + 500 + 56 + 4 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6500564921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82285593 + ... + 82285671.

It is an arithmetic number, because the mean of its divisors is an integer number (35133280).

Almost surely, 2^6500564928 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 6500564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11804782080).

6500564928 is an abundant number, since it is smaller than the sum of its proper divisors (17108999232).

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

6500564928 is a wasteful number, since it uses less digits than its factorization.

6500564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6500564928 is about 80626.0809415911. The cubic root of 6500564928 is about 1866.3096435106.

The spelling of 6500564928 in words is "six billion, five hundred million, five hundred sixty-four thousand, nine hundred twenty-eight".