195781639680 has 1440 divisors, whose sum is σ = 822035823840. Its totient is φ = 44670320640.

The previous prime is 195781639657. The next prime is 195781639681. The reversal of 195781639680 is 86936187591.

195781639680 is a `hidden beast` number, since 1 + 95 + 7 + 81 + 6 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195781639681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11516567032 + ... + 11516567048.

It is an arithmetic number, because the mean of its divisors is an integer number (570858211).

Almost surely, 2^195781639680 is an apocalyptic number.

195781639680 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 195781639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411017911920).

195781639680 is an abundant number, since it is smaller than the sum of its proper divisors (626254184160).

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

195781639680 is an frugal number, since it uses more digits than its factorization.

195781639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 195781639680 in words is "one hundred ninety-five billion, seven hundred eighty-one million, six hundred thirty-nine thousand, six hundred eighty".