8469484800 has 864 divisors, whose sum is σ = 34490292480. Its totient is φ = 1789132800.

The previous prime is 8469484789. The next prime is 8469484801. The reversal of 8469484800 is 84849648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8469484801) 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 95 ways as a sum of consecutive naturals, for example, 159801574 + ... + 159801626.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 2^8469484800 is an apocalyptic number.

8469484800 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 8469484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245146240).

8469484800 is an abundant number, since it is smaller than the sum of its proper divisors (26020807680).

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

8469484800 is a wasteful number, since it uses less digits than its factorization.

8469484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 8469484800 is about 92029.8038680948. The cubic root of 8469484800 is about 2038.3824162807.

The spelling of 8469484800 in words is "eight billion, four hundred sixty-nine million, four hundred eighty-four thousand, eight hundred".