32272563200480 has 384 divisors, whose sum is σ = 84528071147520. Its totient is φ = 11589141104640.

The previous prime is 32272563200393. The next prime is 32272563200491. The reversal of 32272563200480 is 8400236527223.

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, 3631430597 + ... + 3631439483.

It is an arithmetic number, because the mean of its divisors is an integer number (220125185280).

Almost surely, 2^{32272563200480} 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 32272563200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42264035573760).

32272563200480 is an abundant number, since it is smaller than the sum of its proper divisors (52255507947040).

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

32272563200480 is a wasteful number, since it uses less digits than its factorization.

32272563200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 32272563200480 in words is "thirty-two trillion, two hundred seventy-two billion, five hundred sixty-three million, two hundred thousand, four hundred eighty".