4478722560 has 480 divisors, whose sum is σ = 17605748160. Its totient is φ = 1043103744.

The previous prime is 4478722559. The next prime is 4478722571. The reversal of 4478722560 is 652278744.

It is a happy number.

4478722560 is a `hidden beast` number, since 4 + 4 + 7 + 87 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690487 + ... + 5691273.

It is an arithmetic number, because the mean of its divisors is an integer number (36678642).

Almost surely, 2^4478722560 is an apocalyptic number.

4478722560 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 4478722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8802874080).

4478722560 is an abundant number, since it is smaller than the sum of its proper divisors (13127025600).

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

4478722560 is a wasteful number, since it uses less digits than its factorization.

4478722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4478722560 is about 66923.2587371536. The cubic root of 4478722560 is about 1648.3574176862.

The spelling of 4478722560 in words is "four billion, four hundred seventy-eight million, seven hundred twenty-two thousand, five hundred sixty".