32567964128 has 96 divisors (see below), whose sum is σ = 76924753920. Its totient is φ = 13278343680.

The previous prime is 32567964127. The next prime is 32567964131. The reversal of 32567964128 is 82146976523.

It is a self number, because there is not a number n which added to its sum of digits gives 32567964128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32567964127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369950 + ... + 449442.

It is an arithmetic number, because the mean of its divisors is an integer number (801299520).

Almost surely, 2^32567964128 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 32567964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38462376960).

32567964128 is an abundant number, since it is smaller than the sum of its proper divisors (44356789792).

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

32567964128 is a wasteful number, since it uses less digits than its factorization.

32567964128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79600 (or 79592 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The spelling of 32567964128 in words is "thirty-two billion, five hundred sixty-seven million, nine hundred sixty-four thousand, one hundred twenty-eight".