16693867480320 has 576 divisors, whose sum is σ = 60764107219200. Its totient is φ = 4337453629440.

The previous prime is 16693867480289. The next prime is 16693867480441. The reversal of 16693867480320 is 2308476839661.

16693867480320 is a `hidden beast` number, since 1 + 6 + 6 + 93 + 8 + 67 + 480 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×16693867480320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146313359 + ... + 1146327921.

It is an arithmetic number, because the mean of its divisors is an integer number (105493241700).

Almost surely, 2^{16693867480320} is an apocalyptic number.

16693867480320 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 16693867480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30382053609600).

16693867480320 is an abundant number, since it is smaller than the sum of its proper divisors (44070239738880).

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

16693867480320 is a wasteful number, since it uses less digits than its factorization.

16693867480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 16693867480320 in words is "sixteen trillion, six hundred ninety-three billion, eight hundred sixty-seven million, four hundred eighty thousand, three hundred twenty".