4416679680 has 216 divisors, whose sum is σ = 16409452752. Its totient is φ = 1009483776.

The previous prime is 4416679669. The next prime is 4416679691. The reversal of 4416679680 is 869766144.

It is an interprime number because it is at equal distance from previous prime (4416679669) and next prime (4416679691).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 176424 + ... + 199896.

Almost surely, 2^4416679680 is an apocalyptic number.

4416679680 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 4416679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204726376).

4416679680 is an abundant number, since it is smaller than the sum of its proper divisors (11992773072).

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

4416679680 is a wasteful number, since it uses less digits than its factorization.

4416679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23511 (or 23490 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 4416679680 is about 66458.1046976213. The cubic root of 4416679680 is about 1640.7105388290.

The spelling of 4416679680 in words is "four billion, four hundred sixteen million, six hundred seventy-nine thousand, six hundred eighty".