336382367916672 has 1792 divisors, whose sum is σ = 1292045181419520. Its totient is φ = 84658289909760.

The previous prime is 336382367916613. The next prime is 336382367916701. The reversal of 336382367916672 is 276619763283633.

336382367916672 is a `hidden beast` number, since 3 + 3 + 6 + 38 + 2 + 367 + 9 + 166 + 72 = 666.

It is a super-2 number, since 2×336382367916672² (a number of 30 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 self number, because there is not a number n which added to its sum of digits gives 336382367916672.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 39237411778 + ... + 39237420350.

Almost surely, 2^{336382367916672} is an apocalyptic number.

336382367916672 is a gapful number since it is divisible by the number (32) 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 336382367916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646022590709760).

336382367916672 is an abundant number, since it is smaller than the sum of its proper divisors (955662813502848).

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

336382367916672 is a wasteful number, since it uses less digits than its factorization.

336382367916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8766 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 72.

The spelling of 336382367916672 in words is "three hundred thirty-six trillion, three hundred eighty-two billion, three hundred sixty-seven million, nine hundred sixteen thousand, six hundred seventy-two".