4655728800 has 576 divisors, whose sum is σ = 18448819200. Its totient is φ = 1128038400.

The previous prime is 4655728799. The next prime is 4655728849. The reversal of 4655728800 is 88275564.

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 95 ways as a sum of consecutive naturals, for example, 11382996 + ... + 11383404.

It is an arithmetic number, because the mean of its divisors is an integer number (32029200).

Almost surely, 2^4655728800 is an apocalyptic number.

4655728800 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 4655728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224409600).

4655728800 is an abundant number, since it is smaller than the sum of its proper divisors (13793090400).

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

4655728800 is a wasteful number, since it uses less digits than its factorization.

4655728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 4655728800 is about 68232.9011547948. The cubic root of 4655728800 is about 1669.7927001940.

It can be divided in two parts, 46557 and 28800, that added together give a palindrome (75357).

The spelling of 4655728800 in words is "four billion, six hundred fifty-five million, seven hundred twenty-eight thousand, eight hundred".