199726641000 has 640 divisors, whose sum is σ = 744336552960. Its totient is φ = 49838976000.

The previous prime is 199726640999. The next prime is 199726641007. The reversal of 199726641000 is 146627991.

It is a super-2 number, since 2×199726641000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199726641007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87559860 + ... + 87562140.

It is an arithmetic number, because the mean of its divisors is an integer number (1163025864).

Almost surely, 2^199726641000 is an apocalyptic number.

199726641000 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 199726641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372168276480).

199726641000 is an abundant number, since it is smaller than the sum of its proper divisors (544609911960).

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

199726641000 is a wasteful number, since it uses less digits than its factorization.

199726641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 199726641000 in words is "one hundred ninety-nine billion, seven hundred twenty-six million, six hundred forty-one thousand".