4795891195680 has 768 divisors, whose sum is σ = 18338126284800. Its totient is φ = 1178069225472.

The previous prime is 4795891195663. The next prime is 4795891195699. The reversal of 4795891195680 is 865911985974.

4795891195680 is a `hidden beast` number, since 4 + 7 + 9 + 58 + 9 + 1 + 1 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4795891195599 and 4795891195608.

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 127 ways as a sum of consecutive naturals, for example, 3225211897 + ... + 3225213383.

It is an arithmetic number, because the mean of its divisors is an integer number (23877768600).

Almost surely, 2^{4795891195680} is an apocalyptic number.

4795891195680 is a gapful number since it is divisible by the number (40) 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 4795891195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169063142400).

4795891195680 is an abundant number, since it is smaller than the sum of its proper divisors (13542235089120).

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

4795891195680 is a wasteful number, since it uses less digits than its factorization.

4795891195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 72.

The spelling of 4795891195680 in words is "four trillion, seven hundred ninety-five billion, eight hundred ninety-one million, one hundred ninety-five thousand, six hundred eighty".