4680466560 has 768 divisors, whose sum is σ = 20599038720. Its totient is φ = 951091200.

The previous prime is 4680466501. The next prime is 4680466577. The reversal of 4680466560 is 656640864.

4680466560 is a `hidden beast` number, since 4 + 6 + 80 + 4 + 6 + 6 + 560 = 666.

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

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, 27054634 + ... + 27054806.

It is an arithmetic number, because the mean of its divisors is an integer number (26821665).

Almost surely, 2^4680466560 is an apocalyptic number.

4680466560 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 4680466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299519360).

4680466560 is an abundant number, since it is smaller than the sum of its proper divisors (15918572160).

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

4680466560 is a wasteful number, since it uses less digits than its factorization.

4680466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4680466560 is about 68413.9354225438. The cubic root of 4680466560 is about 1672.7449043797.

The spelling of 4680466560 in words is "four billion, six hundred eighty million, four hundred sixty-six thousand, five hundred sixty".