4479779744 has 96 divisors (see below), whose sum is σ = 9986457600. Its totient is φ = 1959724800.

The previous prime is 4479779743. The next prime is 4479779749.

4479779744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (4479779741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170457 + ... + 2172519.

It is an arithmetic number, because the mean of its divisors is an integer number (104025600).

Almost surely, 2^4479779744 is an apocalyptic number.

4479779744 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 4479779744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993228800).

4479779744 is an abundant number, since it is smaller than the sum of its proper divisors (5506677856).

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

4479779744 is a wasteful number, since it uses less digits than its factorization.

4479779744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2306 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 62.

The square root of 4479779744 is about 66931.1567507988. The cubic root of 4479779744 is about 1648.4871034743.

The spelling of 4479779744 in words is "four billion, four hundred seventy-nine million, seven hundred seventy-nine thousand, seven hundred forty-four".