4644864000 has 680 divisors, whose sum is σ = 19792769568. Its totient is φ = 1061683200.

The previous prime is 4644863957. The next prime is 4644864017. The reversal of 4644864000 is 4684464.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (5!)² ⋅ (2!)³.

4644864000 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 8 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 663551997 + ... + 663552003.

Almost surely, 2^4644864000 is an apocalyptic number.

4644864000 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 4644864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896384784).

4644864000 is an abundant number, since it is smaller than the sum of its proper divisors (15147905568).

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

4644864000 is an frugal number, since it uses more digits than its factorization.

4644864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4644864000 is about 68153.2391013076. The cubic root of 4644864000 is about 1668.4927895455.

The spelling of 4644864000 in words is "four billion, six hundred forty-four million, eight hundred sixty-four thousand".