4479007104 has 768 divisors, whose sum is σ = 16841260800. Its totient is φ = 1164533760.

The previous prime is 4479007067. The next prime is 4479007121. The reversal of 4479007104 is 4017009744.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84509542 + ... + 84509594.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^4479007104 is an apocalyptic number.

4479007104 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 4479007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

4479007104 is an abundant number, since it is smaller than the sum of its proper divisors (12362253696).

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

4479007104 is a wasteful number, since it uses less digits than its factorization.

4479007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 4479007104 is about 66925.3846010615. The cubic root of 4479007104 is about 1648.3923249821.

The spelling of 4479007104 in words is "four billion, four hundred seventy-nine million, seven thousand, one hundred four".