4473663744 has 144 divisors (see below), whose sum is σ = 13068224064. Its totient is φ = 1347379200.

The previous prime is 4473663721. The next prime is 4473663757.

4473663744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4473663693 and 4473663702.

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 15 ways as a sum of consecutive naturals, for example, 1459974 + ... + 1463034.

It is an arithmetic number, because the mean of its divisors is an integer number (90751556).

Almost surely, 2^4473663744 is an apocalyptic number.

4473663744 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 4473663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534112032).

4473663744 is an abundant number, since it is smaller than the sum of its proper divisors (8594560320).

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

4473663744 is a wasteful number, since it uses less digits than its factorization.

4473663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3250 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 48.

The square root of 4473663744 is about 66885.4524093244. The cubic root of 4473663744 is about 1647.7365651750.

The spelling of 4473663744 in words is "four billion, four hundred seventy-three million, six hundred sixty-three thousand, seven hundred forty-four".