32564567640 has 128 divisors (see below), whose sum is σ = 106621401600. Its totient is φ = 7891000320.

The previous prime is 32564567639. The next prime is 32564567663. The reversal of 32564567640 is 4676546523.

It is a self number, because there is not a number n which added to its sum of digits gives 32564567640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377364 + ... + 4384796.

It is an arithmetic number, because the mean of its divisors is an integer number (832979700).

Almost surely, 2^32564567640 is an apocalyptic number.

32564567640 is a gapful number since it is divisible by the number (30) 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 32564567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53310700800).

32564567640 is an abundant number, since it is smaller than the sum of its proper divisors (74056833960).

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

32564567640 is a wasteful number, since it uses less digits than its factorization.

32564567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10777 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 32564567640 in words is "thirty-two billion, five hundred sixty-four million, five hundred sixty-seven thousand, six hundred forty".