4451668480 has 320 divisors, whose sum is σ = 12819679488. Its totient is φ = 1450967040.

The previous prime is 4451668447. The next prime is 4451668493. The reversal of 4451668480 is 848661544.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 4451668480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53634519 + ... + 53634601.

Almost surely, 2^4451668480 is an apocalyptic number.

4451668480 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 4451668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409839744).

4451668480 is an abundant number, since it is smaller than the sum of its proper divisors (8368011008).

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

4451668480 is an equidigital number, since it uses as much as digits as its factorization.

4451668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 4451668480 is about 66720.8249349482. The cubic root of 4451668480 is about 1645.0317008700.

The spelling of 4451668480 in words is "four billion, four hundred fifty-one million, six hundred sixty-eight thousand, four hundred eighty".