195642247680 has 360 divisors, whose sum is σ = 744771183156. Its totient is φ = 47427747840.

The previous prime is 195642247679. The next prime is 195642247693. The reversal of 195642247680 is 86742246591.

195642247680 is a `hidden beast` number, since 1 + 9 + 56 + 42 + 2 + 476 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170047367424 + 25594880256 = 412368^2 + 159984^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2752752 + ... + 2822928.

Almost surely, 2^195642247680 is an apocalyptic number.

195642247680 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 195642247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372385591578).

195642247680 is an abundant number, since it is smaller than the sum of its proper divisors (549128935476).

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

195642247680 is a wasteful number, since it uses less digits than its factorization.

195642247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70228 (or 70198 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 195642247680 in words is "one hundred ninety-five billion, six hundred forty-two million, two hundred forty-seven thousand, six hundred eighty".