199974168576 has 720 divisors, whose sum is σ = 739912773600. Its totient is φ = 52688683008.

The previous prime is 199974168551. The next prime is 199974168577. The reversal of 199974168576 is 675861479991.

199974168576 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 7 + 41 + 6 + 8 + 576 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (199974168577) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196244995 + ... + 196246013.

It is an arithmetic number, because the mean of its divisors is an integer number (1027656630).

Almost surely, 2^199974168576 is an apocalyptic number.

199974168576 is a gapful number since it is divisible by the number (16) 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 199974168576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369956386800).

199974168576 is an abundant number, since it is smaller than the sum of its proper divisors (539938605024).

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

199974168576 is a wasteful number, since it uses less digits than its factorization.

199974168576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1044 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 199974168576 in words is "one hundred ninety-nine billion, nine hundred seventy-four million, one hundred sixty-eight thousand, five hundred seventy-six".