199664726976000 has 1280 divisors, whose sum is σ = 866545987507200. Its totient is φ = 44680163328000.

The previous prime is 199664726975929. The next prime is 199664726976061. The reversal of 199664726976000 is 679627466991.

199664726976000 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 4 + 7 + 2 + 6 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 199664726976000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246699991 + ... + 247508009.

It is an arithmetic number, because the mean of its divisors is an integer number (676989052740).

Almost surely, 2^{199664726976000} is an apocalyptic number.

199664726976000 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 199664726976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433272993753600).

199664726976000 is an abundant number, since it is smaller than the sum of its proper divisors (666881260531200).

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

199664726976000 is a wasteful number, since it uses less digits than its factorization.

199664726976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808085 (or 808053 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 199664726976000 in words is "one hundred ninety-nine trillion, six hundred sixty-four billion, seven hundred twenty-six million, nine hundred seventy-six thousand".