4476168616744 has 96 divisors (see below), whose sum is σ = 9572616990720. Its totient is φ = 1958677776000.

The previous prime is 4476168616691. The next prime is 4476168616747.

4476168616744 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4476168616747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5341042 + ... + 6122014.

It is an arithmetic number, because the mean of its divisors is an integer number (99714760320).

Almost surely, 2^{4476168616744} is an apocalyptic number.

4476168616744 is a gapful number since it is divisible by the number (44) 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 4476168616744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786308495360).

4476168616744 is an abundant number, since it is smaller than the sum of its proper divisors (5096448373976).

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

4476168616744 is a wasteful number, since it uses less digits than its factorization.

4476168616744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781223 (or 781208 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 64.

The spelling of 4476168616744 in words is "four trillion, four hundred seventy-six billion, one hundred sixty-eight million, six hundred sixteen thousand, seven hundred forty-four".