4556380800 has 192 divisors, whose sum is σ = 15890947200. Its totient is φ = 1143521280.

The previous prime is 4556380793. The next prime is 4556380811. The reversal of 4556380800 is 80836554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149241 + ... + 177159.

It is an arithmetic number, because the mean of its divisors is an integer number (82765350).

Almost surely, 2^4556380800 is an apocalyptic number.

4556380800 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 4556380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945473600).

4556380800 is an abundant number, since it is smaller than the sum of its proper divisors (11334566400).

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

4556380800 is a wasteful number, since it uses less digits than its factorization.

4556380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27963 (or 27946 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 4556380800 is about 67500.9688819353. The cubic root of 4556380800 is about 1657.8300383127.

The spelling of 4556380800 in words is "four billion, five hundred fifty-six million, three hundred eighty thousand, eight hundred".