195744675840 has 768 divisors, whose sum is σ = 786491596800. Its totient is φ = 40524447744.

The previous prime is 195744675829. The next prime is 195744675871. The reversal of 195744675840 is 48576447591.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93971439 + ... + 93973521.

It is an arithmetic number, because the mean of its divisors is an integer number (1024077600).

Almost surely, 2^195744675840 is an apocalyptic number.

195744675840 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 195744675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393245798400).

195744675840 is an abundant number, since it is smaller than the sum of its proper divisors (590746920960).

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

195744675840 is a wasteful number, since it uses less digits than its factorization.

195744675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 195744675840 in words is "one hundred ninety-five billion, seven hundred forty-four million, six hundred seventy-five thousand, eight hundred forty".