4791716160 has 672 divisors, whose sum is σ = 19614099456. Its totient is φ = 969830400.

The previous prime is 4791716147. The next prime is 4791716233. The reversal of 4791716160 is 616171974.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57731479 + ... + 57731561.

It is an arithmetic number, because the mean of its divisors is an integer number (29187648).

Almost surely, 2^4791716160 is an apocalyptic number.

4791716160 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 4791716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9807049728).

4791716160 is an abundant number, since it is smaller than the sum of its proper divisors (14822383296).

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

4791716160 is a wasteful number, since it uses less digits than its factorization.

4791716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 4791716160 is about 69222.2230212235. The cubic root of 4791716160 is about 1685.8943744345.

The spelling of 4791716160 in words is "four billion, seven hundred ninety-one million, seven hundred sixteen thousand, one hundred sixty".