4579905960 has 288 divisors, whose sum is σ = 17364896640. Its totient is φ = 1025496576.

The previous prime is 4579905959. The next prime is 4579905971. The reversal of 4579905960 is 695099754.

4579905960 is a `hidden beast` number, since 4 + 579 + 9 + 0 + 5 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4579905897 and 4579905906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7078357 + ... + 7079003.

It is an arithmetic number, because the mean of its divisors is an integer number (60294780).

Almost surely, 2^4579905960 is an apocalyptic number.

4579905960 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 4579905960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682448320).

4579905960 is an abundant number, since it is smaller than the sum of its proper divisors (12784990680).

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

4579905960 is a wasteful number, since it uses less digits than its factorization.

4579905960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 4579905960 is about 67675.0024750646. The cubic root of 4579905960 is about 1660.6783360178.

The spelling of 4579905960 in words is "four billion, five hundred seventy-nine million, nine hundred five thousand, nine hundred sixty".