199984680724608 has 768 divisors, whose sum is σ = 641803627876320. Its totient is φ = 59392327680000.

The previous prime is 199984680724607. The next prime is 199984680724651. The reversal of 199984680724608 is 806427086489991.

199984680724608 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 4 + 6 + 80 + 72 + 460 + 8 = 666.

199984680724608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 56430144 + 199984624294464 = 7512^2 + 14141592^2 .

It is not an unprimeable number, because it can be changed into a prime (199984680724607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10426176778 + ... + 10426195958.

Almost surely, 2^{199984680724608} is an apocalyptic number.

199984680724608 is a gapful number since it is divisible by the number (18) 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 199984680724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320901813938160).

199984680724608 is an abundant number, since it is smaller than the sum of its proper divisors (441818947151712).

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

199984680724608 is a wasteful number, since it uses less digits than its factorization.

199984680724608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19489 (or 19474 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 81.

The spelling of 199984680724608 in words is "one hundred ninety-nine trillion, nine hundred eighty-four billion, six hundred eighty million, seven hundred twenty-four thousand, six hundred eight".