195671047680 has 640 divisors, whose sum is σ = 731421757440. Its totient is φ = 49514250240.

The previous prime is 195671047669. The next prime is 195671047687. The reversal of 195671047680 is 86740176591.

195671047680 is a `hidden beast` number, since 1 + 9 + 567 + 1 + 0 + 4 + 76 + 8 + 0 = 666.

195671047680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×195671047680³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195671047687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113563299 + ... + 113565021.

It is an arithmetic number, because the mean of its divisors is an integer number (1142846496).

Almost surely, 2^195671047680 is an apocalyptic number.

195671047680 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 195671047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365710878720).

195671047680 is an abundant number, since it is smaller than the sum of its proper divisors (535750709760).

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

195671047680 is a wasteful number, since it uses less digits than its factorization.

195671047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 195671047680 in words is "one hundred ninety-five billion, six hundred seventy-one million, forty-seven thousand, six hundred eighty".