8273344576 has 224 divisors, whose sum is σ = 21015106560. Its totient is φ = 3149561856.

The previous prime is 8273344543. The next prime is 8273344579. The reversal of 8273344576 is 6754433728.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (8273344579) 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 31 ways as a sum of consecutive naturals, for example, 10380210 + ... + 10381006.

It is an arithmetic number, because the mean of its divisors is an integer number (93817440).

Almost surely, 2^8273344576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8273344576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507553280).

8273344576 is an abundant number, since it is smaller than the sum of its proper divisors (12741761984).

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

8273344576 is a wasteful number, since it uses less digits than its factorization.

8273344576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 49.

The square root of 8273344576 is about 90957.9275049734. The cubic root of 8273344576 is about 2022.5240949681.

The spelling of 8273344576 in words is "eight billion, two hundred seventy-three million, three hundred forty-four thousand, five hundred seventy-six".