329987413272960 has 384 divisors, whose sum is σ = 1152634749645600. Its totient is φ = 86981962924032.

The previous prime is 329987413272943. The next prime is 329987413272973. The reversal of 329987413272960 is 69272314789923.

329987413272960 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 8 + 7 + 4 + 1 + 327 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749546019 + ... + 1749734621.

Almost surely, 2^{329987413272960} is an apocalyptic number.

329987413272960 is a gapful number since it is divisible by the number (30) 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 329987413272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576317374822800).

329987413272960 is an abundant number, since it is smaller than the sum of its proper divisors (822647336372640).

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

329987413272960 is a wasteful number, since it uses less digits than its factorization.

329987413272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192130 (or 192115 counting only the distinct ones).

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

The spelling of 329987413272960 in words is "three hundred twenty-nine trillion, nine hundred eighty-seven billion, four hundred thirteen million, two hundred seventy-two thousand, nine hundred sixty".