4427604960480 has 576 divisors, whose sum is σ = 16932484296000. Its totient is φ = 1052268392448.

The previous prime is 4427604960463. The next prime is 4427604960511. The reversal of 4427604960480 is 840694067244.

4427604960480 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 60 + 49 + 60 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91722591 + ... + 91770849.

It is an arithmetic number, because the mean of its divisors is an integer number (29396674125).

Almost surely, 2^{4427604960480} is an apocalyptic number.

4427604960480 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 4427604960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466242148000).

4427604960480 is an abundant number, since it is smaller than the sum of its proper divisors (12504879335520).

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

4427604960480 is a wasteful number, since it uses less digits than its factorization.

4427604960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48348 (or 48311 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4427604960480 in words is "four trillion, four hundred twenty-seven billion, six hundred four million, nine hundred sixty thousand, four hundred eighty".