4557820800 has 384 divisors, whose sum is σ = 16467696000. Its totient is φ = 1101127680.

The previous prime is 4557820781. The next prime is 4557820823. The reversal of 4557820800 is 80287554.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7362891 + ... + 7363509.

It is an arithmetic number, because the mean of its divisors is an integer number (42884625).

Almost surely, 2^4557820800 is an apocalyptic number.

4557820800 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 4557820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233848000).

4557820800 is an abundant number, since it is smaller than the sum of its proper divisors (11909875200).

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

4557820800 is a wasteful number, since it uses less digits than its factorization.

4557820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 4557820800 is about 67511.6345528680. The cubic root of 4557820800 is about 1658.0046669572.

The spelling of 4557820800 in words is "four billion, five hundred fifty-seven million, eight hundred twenty thousand, eight hundred".