199805672765664 has 576 divisors, whose sum is σ = 689262584371200. Its totient is φ = 56132150860800.

The previous prime is 199805672765617. The next prime is 199805672765701. The reversal of 199805672765664 is 466567276508991.

199805672765664 is a `hidden beast` number, since 199 + 8 + 0 + 56 + 7 + 276 + 56 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8571292569 + ... + 8571315879.

It is an arithmetic number, because the mean of its divisors is an integer number (1196636431200).

Almost surely, 2^{199805672765664} is an apocalyptic number.

199805672765664 is a gapful number since it is divisible by the number (14) 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 199805672765664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344631292185600).

199805672765664 is an abundant number, since it is smaller than the sum of its proper divisors (489456911605536).

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

199805672765664 is a wasteful number, since it uses less digits than its factorization.

199805672765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26724 (or 26703 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 199805672765664 in words is "one hundred ninety-nine trillion, eight hundred five billion, six hundred seventy-two million, seven hundred sixty-five thousand, six hundred sixty-four".