8324284332672 has 768 divisors, whose sum is σ = 31224807936000. Its totient is φ = 2158868920320.

The previous prime is 8324284332671. The next prime is 8324284332677. The reversal of 8324284332672 is 2762334824238.

8324284332672 is a `hidden beast` number, since 8 + 3 + 24 + 284 + 332 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8324284332671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1376594353 + ... + 1376600399.

It is an arithmetic number, because the mean of its divisors is an integer number (40657302000).

Almost surely, 2^{8324284332672} 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 8324284332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612403968000).

8324284332672 is an abundant number, since it is smaller than the sum of its proper divisors (22900523603328).

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

8324284332672 is a wasteful number, since it uses less digits than its factorization.

8324284332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6809 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 8324284332672 in words is "eight trillion, three hundred twenty-four billion, two hundred eighty-four million, three hundred thirty-two thousand, six hundred seventy-two".