336989616768 has 192 divisors, whose sum is σ = 1129166438400. Its totient is φ = 94465972224.

The previous prime is 336989616763. The next prime is 336989616779. The reversal of 336989616768 is 867616989633.

336989616768 is a `hidden beast` number, since 336 + 98 + 96 + 1 + 67 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×336989616768² (a number of 24 digits) contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 336989616696 and 336989616705.

It is not an unprimeable number, because it can be changed into a prime (336989616763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33153 + ... + 821631.

It is an arithmetic number, because the mean of its divisors is an integer number (5881075200).

Almost surely, 2^336989616768 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 336989616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564583219200).

336989616768 is an abundant number, since it is smaller than the sum of its proper divisors (792176821632).

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

336989616768 is a wasteful number, since it uses less digits than its factorization.

336989616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788559 (or 788544 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 336989616768 in words is "three hundred thirty-six billion, nine hundred eighty-nine million, six hundred sixteen thousand, seven hundred sixty-eight".