8544412800 has 576 divisors, whose sum is σ = 38021405760. Its totient is φ = 1775001600.

The previous prime is 8544412787. The next prime is 8544412813. The reversal of 8544412800 is 82144458.

It is an interprime number because it is at equal distance from previous prime (8544412787) and next prime (8544412813).

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2215674 + ... + 2219526.

It is an arithmetic number, because the mean of its divisors is an integer number (66009385).

Almost surely, 2^8544412800 is an apocalyptic number.

8544412800 is a gapful number since it is divisible by the number (80) 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 8544412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010702880).

8544412800 is an abundant number, since it is smaller than the sum of its proper divisors (29476992960).

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

8544412800 is a wasteful number, since it uses less digits than its factorization.

8544412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8544412800 is about 92435.9929897440. The cubic root of 8544412800 is about 2044.3758434588.

The spelling of 8544412800 in words is "eight billion, five hundred forty-four million, four hundred twelve thousand, eight hundred".