4644642816000 has 2176 divisors, whose sum is σ = 19786226503680. Its totient is φ = 1064042496000.

The previous prime is 4644642815993. The next prime is 4644642816029. The reversal of 4644642816000 is 6182464464.

4644642816000 is a `hidden beast` number, since 4 + 6 + 4 + 464 + 28 + 160 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55959551959 + ... + 55959552041.

Almost surely, 2^{4644642816000} is an apocalyptic number.

4644642816000 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 4644642816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893113251840).

4644642816000 is an abundant number, since it is smaller than the sum of its proper divisors (15141583687680).

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

4644642816000 is an equidigital number, since it uses as much as digits as its factorization.

4644642816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4644642816000 in words is "four trillion, six hundred forty-four billion, six hundred forty-two million, eight hundred sixteen thousand".