4795580160 has 576 divisors, whose sum is σ = 19944207360. Its totient is φ = 1068318720.

The previous prime is 4795580113. The next prime is 4795580177. The reversal of 4795580160 is 610855974.

4795580160 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 580 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10402330 + ... + 10402790.

It is an arithmetic number, because the mean of its divisors is an integer number (34625360).

Almost surely, 2^4795580160 is an apocalyptic number.

4795580160 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 4795580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972103680).

4795580160 is an abundant number, since it is smaller than the sum of its proper divisors (15148627200).

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

4795580160 is a wasteful number, since it uses less digits than its factorization.

4795580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 4795580160 is about 69250.1275089079. The cubic root of 4795580160 is about 1686.3474164070.

The spelling of 4795580160 in words is "four billion, seven hundred ninety-five million, five hundred eighty thousand, one hundred sixty".