4478686560 has 384 divisors, whose sum is σ = 16512491520. Its totient is φ = 1132185600.

The previous prime is 4478686559. The next prime is 4478686561. The reversal of 4478686560 is 656868744.

4478686560 is a `hidden beast` number, since 4 + 4 + 78 + 6 + 8 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4478686559) and next prime (4478686561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4478686497 and 4478686506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4478686561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7097445 + ... + 7098075.

It is an arithmetic number, because the mean of its divisors is an integer number (43001280).

Almost surely, 2^4478686560 is an apocalyptic number.

4478686560 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 4478686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256245760).

4478686560 is an abundant number, since it is smaller than the sum of its proper divisors (12033804960).

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

4478686560 is a wasteful number, since it uses less digits than its factorization.

4478686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4478686560 is about 66922.9897718265. The cubic root of 4478686560 is about 1648.3530011720.

The spelling of 4478686560 in words is "four billion, four hundred seventy-eight million, six hundred eighty-six thousand, five hundred sixty".