4480680960 has 528 divisors, whose sum is σ = 18393523200. Its totient is φ = 986775552.

The previous prime is 4480680937. The next prime is 4480680977. The reversal of 4480680960 is 690860844.

It is a happy number.

4480680960 is a `hidden beast` number, since 4 + 480 + 6 + 80 + 96 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 9354001 + ... + 9354479.

Almost surely, 2^4480680960 is an apocalyptic number.

4480680960 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 4480680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196761600).

4480680960 is an abundant number, since it is smaller than the sum of its proper divisors (13912842240).

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

4480680960 is a wasteful number, since it uses less digits than its factorization.

4480680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4480680960 is about 66937.8888224001. Note that the first 4 decimals coincide. The cubic root of 4480680960 is about 1648.5976404073.

The spelling of 4480680960 in words is "four billion, four hundred eighty million, six hundred eighty thousand, nine hundred sixty".