4647628800 has 468 divisors, whose sum is σ = 17500235320. Its totient is φ = 1209139200.

The previous prime is 4647628789. The next prime is 4647628801. The reversal of 4647628800 is 88267464.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (4647628801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113356780 + ... + 113356820.

Almost surely, 2^4647628800 is an apocalyptic number.

4647628800 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 4647628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750117660).

4647628800 is an abundant number, since it is smaller than the sum of its proper divisors (12852606520).

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

4647628800 is an equidigital number, since it uses as much as digits as its factorization.

4647628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4647628800 is about 68173.5197859110. The cubic root of 4647628800 is about 1668.8237740393.

The spelling of 4647628800 in words is "four billion, six hundred forty-seven million, six hundred twenty-eight thousand, eight hundred".