4417680960 has 504 divisors, whose sum is σ = 19098451008. Its totient is φ = 917452800.

The previous prime is 4417680959. The next prime is 4417680973. The reversal of 4417680960 is 690867144.

4417680960 is a `hidden beast` number, since 441 + 76 + 80 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2438455 + ... + 2440265.

It is an arithmetic number, because the mean of its divisors is an integer number (37893752).

Almost surely, 2^4417680960 is an apocalyptic number.

4417680960 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 4417680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549225504).

4417680960 is an abundant number, since it is smaller than the sum of its proper divisors (14680770048).

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

4417680960 is a wasteful number, since it uses less digits than its factorization.

4417680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4417680960 is about 66465.6374377016. The cubic root of 4417680960 is about 1640.8345148048.

The spelling of 4417680960 in words is "four billion, four hundred seventeen million, six hundred eighty thousand, nine hundred sixty".