17321216640 has 256 divisors, whose sum is σ = 67953150720. Its totient is φ = 3654549504.

The previous prime is 17321216621. The next prime is 17321216641. The reversal of 17321216640 is 4661212371.

It is not an unprimeable number, because it can be changed into a prime (17321216641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125152 + ... + 224288.

It is an arithmetic number, because the mean of its divisors is an integer number (265441995).

Almost surely, 2^17321216640 is an apocalyptic number.

17321216640 is a gapful number since it is divisible by the number (10) 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 17321216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976575360).

17321216640 is an abundant number, since it is smaller than the sum of its proper divisors (50631934080).

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

17321216640 is a wasteful number, since it uses less digits than its factorization.

17321216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99179 (or 99167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 17321216640 in words is "seventeen billion, three hundred twenty-one million, two hundred sixteen thousand, six hundred forty".