4666066560 has 448 divisors, whose sum is σ = 17077425480. Its totient is φ = 1218281472.

The previous prime is 4666066547. The next prime is 4666066571. The reversal of 4666066560 is 656606664.

It can be written as a sum of positive squares in 4 ways, for example, as 4005370944 + 660695616 = 63288^2 + 25704^2 .

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 55 ways as a sum of consecutive naturals, for example, 34058812 + ... + 34058948.

Almost surely, 2^4666066560 is an apocalyptic number.

4666066560 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 4666066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538712740).

4666066560 is an abundant number, since it is smaller than the sum of its proper divisors (12411358920).

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

4666066560 is an equidigital number, since it uses as much as digits as its factorization.

4666066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 4666066560 is about 68308.6126341327. The cubic root of 4666066560 is about 1671.0276773101.

The spelling of 4666066560 in words is "four billion, six hundred sixty-six million, sixty-six thousand, five hundred sixty".