16930700673840 has 320 divisors, whose sum is σ = 60207346483200. Its totient is φ = 4368538137600.

The previous prime is 16930700673811. The next prime is 16930700673847. The reversal of 16930700673840 is 4837600703961.

16930700673840 is a `hidden beast` number, since 169 + 30 + 70 + 0 + 6 + 7 + 384 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16930700673847) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 548453926 + ... + 548484794.

It is an arithmetic number, because the mean of its divisors is an integer number (188147957760).

Almost surely, 2^{16930700673840} is an apocalyptic number.

16930700673840 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 16930700673840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30103673241600).

16930700673840 is an abundant number, since it is smaller than the sum of its proper divisors (43276645809360).

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

16930700673840 is a wasteful number, since it uses less digits than its factorization.

16930700673840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39113 (or 39101 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 16930700673840 in words is "sixteen trillion, nine hundred thirty billion, seven hundred million, six hundred seventy-three thousand, eight hundred forty".