199325767680 has 384 divisors, whose sum is σ = 763057713600. Its totient is φ = 49063919616.

The previous prime is 199325767607. The next prime is 199325767681. The reversal of 199325767680 is 86767523991.

199325767680 is a `hidden beast` number, since 199 + 325 + 7 + 67 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×199325767680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199325767681) 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 31 ways as a sum of consecutive naturals, for example, 3566512 + ... + 3621968.

Almost surely, 2^199325767680 is an apocalyptic number.

199325767680 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 199325767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381528856800).

199325767680 is an abundant number, since it is smaller than the sum of its proper divisors (563731945920).

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

199325767680 is a wasteful number, since it uses less digits than its factorization.

199325767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55506 (or 55480 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 199325767680 in words is "one hundred ninety-nine billion, three hundred twenty-five million, seven hundred sixty-seven thousand, six hundred eighty".