32540667760 has 80 divisors (see below), whose sum is σ = 78534973440. Its totient is φ = 12525845760.

The previous prime is 32540667727. The next prime is 32540667763. The reversal of 32540667760 is 6776604523.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 32540667760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32540667763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407269 + ... + 480571.

It is an arithmetic number, because the mean of its divisors is an integer number (981687168).

Almost surely, 2^32540667760 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 32540667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39267486720).

32540667760 is an abundant number, since it is smaller than the sum of its proper divisors (45994305680).

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

32540667760 is a wasteful number, since it uses less digits than its factorization.

32540667760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73526 (or 73520 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 32540667760 in words is "thirty-two billion, five hundred forty million, six hundred sixty-seven thousand, seven hundred sixty".