195468305760 has 1152 divisors, whose sum is σ = 861374352384. Its totient is φ = 40758681600.

The previous prime is 195468305749. The next prime is 195468305801. The reversal of 195468305760 is 67503864591.

195468305760 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 68 + 3 + 0 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 195468305697 and 195468305706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357345807 + ... + 357346353.

It is an arithmetic number, because the mean of its divisors is an integer number (747720792).

Almost surely, 2^195468305760 is an apocalyptic number.

195468305760 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 195468305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430687176192).

195468305760 is an abundant number, since it is smaller than the sum of its proper divisors (665906046624).

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

195468305760 is a wasteful number, since it uses less digits than its factorization.

195468305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 195468305760 in words is "one hundred ninety-five billion, four hundred sixty-eight million, three hundred five thousand, seven hundred sixty".