199724728320 has 1024 divisors, whose sum is σ = 803280844800. Its totient is φ = 46714060800.

The previous prime is 199724728303. The next prime is 199724728351. The reversal of 199724728320 is 23827427991.

It is a happy number.

199724728320 is a `hidden beast` number, since 1 + 9 + 9 + 72 + 472 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1322680245 + ... + 1322680395.

It is an arithmetic number, because the mean of its divisors is an integer number (784453950).

Almost surely, 2^199724728320 is an apocalyptic number.

199724728320 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 199724728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401640422400).

199724728320 is an abundant number, since it is smaller than the sum of its proper divisors (603556116480).

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

199724728320 is a wasteful number, since it uses less digits than its factorization.

199724728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 199724728320 in words is "one hundred ninety-nine billion, seven hundred twenty-four million, seven hundred twenty-eight thousand, three hundred twenty".