6575235264 has 280 divisors, whose sum is σ = 21487983440. Its totient is φ = 1975228416.

The previous prime is 6575235263. The next prime is 6575235287. The reversal of 6575235264 is 4625325756.

6575235264 is a `hidden beast` number, since 6 + 575 + 23 + 52 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (6575235263) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2896722 + ... + 2898990.

It is an arithmetic number, because the mean of its divisors is an integer number (76742798).

Almost surely, 2^6575235264 is an apocalyptic number.

6575235264 is a gapful number since it is divisible by the number (64) 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 6575235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743991720).

6575235264 is an abundant number, since it is smaller than the sum of its proper divisors (14912748176).

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

6575235264 is a wasteful number, since it uses less digits than its factorization.

6575235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2330 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 6575235264 is about 81087.8243881287. The cubic root of 6575235264 is about 1873.4283969888.

The spelling of 6575235264 in words is "six billion, five hundred seventy-five million, two hundred thirty-five thousand, two hundred sixty-four".