17210340864 has 480 divisors, whose sum is σ = 55766430720. Its totient is φ = 5279219712.

The previous prime is 17210340863. The next prime is 17210340871. The reversal of 17210340864 is 46804301271.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17210340863) 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 47 ways as a sum of consecutive naturals, for example, 167090637 + ... + 167090739.

It is an arithmetic number, because the mean of its divisors is an integer number (116180064).

Almost surely, 2^17210340864 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 17210340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27883215360).

17210340864 is an abundant number, since it is smaller than the sum of its proper divisors (38556089856).

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

17210340864 is an equidigital number, since it uses as much as digits as its factorization.

17210340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 17210340864 in words is "seventeen billion, two hundred ten million, three hundred forty thousand, eight hundred sixty-four".