4652380800 has 576 divisors, whose sum is σ = 17863023360. Its totient is φ = 1194393600.

The previous prime is 4652380771. The next prime is 4652380807. The reversal of 4652380800 is 80832564.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (4652380807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24105504 + ... + 24105696.

Almost surely, 2^4652380800 is an apocalyptic number.

4652380800 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 4652380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931511680).

4652380800 is an abundant number, since it is smaller than the sum of its proper divisors (13210642560).

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

4652380800 is a wasteful number, since it uses less digits than its factorization.

4652380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4652380800 is about 68208.3631235936. The cubic root of 4652380800 is about 1669.3923470809.

The spelling of 4652380800 in words is "four billion, six hundred fifty-two million, three hundred eighty thousand, eight hundred".