4661664000 has 432 divisors, whose sum is σ = 18029846016. Its totient is φ = 1064448000.

The previous prime is 4661663977. The next prime is 4661664001. The reversal of 4661664000 is 4661664.

It is a super-2 number, since 2×4661664000² = 43462222497792000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4661664001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4703505 + ... + 4704495.

Almost surely, 2^4661664000 is an apocalyptic number.

4661664000 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 4661664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014923008).

4661664000 is an abundant number, since it is smaller than the sum of its proper divisors (13368182016).

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

4661664000 is an equidigital number, since it uses as much as digits as its factorization.

4661664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4661664000 is about 68276.3795173704. The cubic root of 4661664000 is about 1670.5019586625.

4661664000 divided by its reverse (4661664) gives a cube (1000 = 10³).

The spelling of 4661664000 in words is "four billion, six hundred sixty-one million, six hundred sixty-four thousand".