4718436872832 has 160 divisors (see below), whose sum is σ = 14049323164800. Its totient is φ = 1571991114240.

The previous prime is 4718436872827. The next prime is 4718436872833. The reversal of 4718436872832 is 2382786348174.

4718436872832 is a `hidden beast` number, since 4 + 71 + 8 + 436 + 87 + 28 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4718436872832.

It is not an unprimeable number, because it can be changed into a prime (4718436872833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19902769 + ... + 20138447.

It is an arithmetic number, because the mean of its divisors is an integer number (87808269780).

Almost surely, 2^{4718436872832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4718436872832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024661582400).

4718436872832 is an abundant number, since it is smaller than the sum of its proper divisors (9330886291968).

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

4718436872832 is a wasteful number, since it uses less digits than its factorization.

4718436872832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237636 (or 237615 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 4718436872832 in words is "four trillion, seven hundred eighteen billion, four hundred thirty-six million, eight hundred seventy-two thousand, eight hundred thirty-two".