4794716160 has 832 divisors, whose sum is σ = 19815667200. Its totient is φ = 1089994752.

The previous prime is 4794716119. The next prime is 4794716203. The reversal of 4794716160 is 616174974.

4794716160 is a `hidden beast` number, since 479 + 4 + 7 + 16 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165335026 + ... + 165335054.

Almost surely, 2^4794716160 is an apocalyptic number.

4794716160 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 4794716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907833600).

4794716160 is an abundant number, since it is smaller than the sum of its proper divisors (15020951040).

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

4794716160 is a wasteful number, since it uses less digits than its factorization.

4794716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4794716160 is about 69243.8889722407. Note that the first 3 decimals coincide. The cubic root of 4794716160 is about 1686.2461362262.

The spelling of 4794716160 in words is "four billion, seven hundred ninety-four million, seven hundred sixteen thousand, one hundred sixty".