17989964334720 has 2688 divisors, whose sum is σ = 81430422368400. Its totient is φ = 3772372746240.

The previous prime is 17989964334689. The next prime is 17989964334739. The reversal of 17989964334720 is 2743346998971.

It is a happy number.

17989964334720 is a `hidden beast` number, since 1 + 7 + 9 + 8 + 99 + 64 + 3 + 3 + 472 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1947632371776 + 16042331962944 = 1395576^2 + 4005288^2 .

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×17989964334720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15934423116 + ... + 15934424244.

Almost surely, 2^{17989964334720} is an apocalyptic number.

17989964334720 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 17989964334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40715211184200).

17989964334720 is an abundant number, since it is smaller than the sum of its proper divisors (63440458033680).

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

17989964334720 is a wasteful number, since it uses less digits than its factorization.

17989964334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 17989964334720 in words is "seventeen trillion, nine hundred eighty-nine billion, nine hundred sixty-four million, three hundred thirty-four thousand, seven hundred twenty".