17242427664 has 640 divisors, whose sum is σ = 66555740160. Its totient is φ = 4139942400.

The previous prime is 17242427623. The next prime is 17242427693. The reversal of 17242427664 is 46672424271.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23716869 + ... + 23717595.

It is an arithmetic number, because the mean of its divisors is an integer number (103993344).

Almost surely, 2^17242427664 is an apocalyptic number.

17242427664 is a gapful number since it is divisible by the number (14) 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 17242427664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33277870080).

17242427664 is an abundant number, since it is smaller than the sum of its proper divisors (49313312496).

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

17242427664 is a wasteful number, since it uses less digits than its factorization.

17242427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 17242427664 in words is "seventeen billion, two hundred forty-two million, four hundred twenty-seven thousand, six hundred sixty-four".