32217415680 has 240 divisors, whose sum is σ = 103664302560. Its totient is φ = 8543797248.

The previous prime is 32217415673. The next prime is 32217415709. The reversal of 32217415680 is 8651471223.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82820926 + ... + 82821314.

It is an arithmetic number, because the mean of its divisors is an integer number (431934594).

Almost surely, 2^32217415680 is an apocalyptic number.

32217415680 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 32217415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51832151280).

32217415680 is an abundant number, since it is smaller than the sum of its proper divisors (71446886880).

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

32217415680 is an equidigital number, since it uses as much as digits as its factorization.

32217415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 32217415680 in words is "thirty-two billion, two hundred seventeen million, four hundred fifteen thousand, six hundred eighty".