4113579680 has 96 divisors (see below), whose sum is σ = 11205298944. Its totient is φ = 1397846016.

The previous prime is 4113579677. The next prime is 4113579737. The reversal of 4113579680 is 869753114.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110309 + ... + 142811.

It is an arithmetic number, because the mean of its divisors is an integer number (116721864).

Almost surely, 2^4113579680 is an apocalyptic number.

4113579680 is a gapful number since it is divisible by the number (40) 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 4113579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602649472).

4113579680 is an abundant number, since it is smaller than the sum of its proper divisors (7091719264).

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

4113579680 is a wasteful number, since it uses less digits than its factorization.

4113579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32638 (or 32630 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 4113579680 is about 64137.1942011810. The cubic root of 4113579680 is about 1602.2857538592.

The spelling of 4113579680 in words is "four billion, one hundred thirteen million, five hundred seventy-nine thousand, six hundred eighty".