16872978676320 has 2304 divisors, whose sum is σ = 70512619806720. Its totient is φ = 3783570186240.

The previous prime is 16872978676273. The next prime is 16872978676331. The reversal of 16872978676320 is 2367687927861.

16872978676320 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 297 + 8 + 6 + 7 + 6 + 320 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107471201682 + ... + 107471201838.

It is an arithmetic number, because the mean of its divisors is an integer number (30604435680).

Almost surely, 2^{16872978676320} is an apocalyptic number.

16872978676320 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 16872978676320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35256309903360).

16872978676320 is an abundant number, since it is smaller than the sum of its proper divisors (53639641130400).

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

16872978676320 is a wasteful number, since it uses less digits than its factorization.

16872978676320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 16872978676320 in words is "sixteen trillion, eight hundred seventy-two billion, nine hundred seventy-eight million, six hundred seventy-six thousand, three hundred twenty".