6564963405 has 128 divisors (see below), whose sum is σ = 14392627200. Its totient is φ = 2518145280.

The previous prime is 6564963401. The next prime is 6564963409. The reversal of 6564963405 is 5043694656.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6564963401) and next prime (6564963409).

It is not a de Polignac number, because 6564963405 - 2² = 6564963401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564963401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 731274 + ... + 740196.

It is an arithmetic number, because the mean of its divisors is an integer number (112442400).

Almost surely, 2^6564963405 is an apocalyptic number.

6564963405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6564963405 is an abundant number, since it is smaller than the sum of its proper divisors (7827663795).

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

6564963405 is a wasteful number, since it uses less digits than its factorization.

6564963405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The square root of 6564963405 is about 81024.4617692706. The cubic root of 6564963405 is about 1872.4523294121.

It can be divided in two parts, 6564 and 963405, that added together give a palindrome (969969).

The spelling of 6564963405 in words is "six billion, five hundred sixty-four million, nine hundred sixty-three thousand, four hundred five".