32224048640 has 640 divisors, whose sum is σ = 99559342080. Its totient is φ = 9754214400.

The previous prime is 32224048589. The next prime is 32224048651. The reversal of 32224048640 is 4684042223.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 32224048640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453859805 + ... + 453859875.

It is an arithmetic number, because the mean of its divisors is an integer number (155561472).

Almost surely, 2^32224048640 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 32224048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49779671040).

32224048640 is an abundant number, since it is smaller than the sum of its proper divisors (67335293440).

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

32224048640 is a wasteful number, since it uses less digits than its factorization.

32224048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 32224048640 in words is "thirty-two billion, two hundred twenty-four million, forty-eight thousand, six hundred forty".