8793372672 has 576 divisors, whose sum is σ = 32503161600. Its totient is φ = 2229534720.

The previous prime is 8793372661. The next prime is 8793372683. The reversal of 8793372672 is 2762733978.

It is an interprime number because it is at equal distance from previous prime (8793372661) and next prime (8793372683).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41674647 + ... + 41674857.

It is an arithmetic number, because the mean of its divisors is an integer number (56429100).

Almost surely, 2^8793372672 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 8793372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251580800).

8793372672 is an abundant number, since it is smaller than the sum of its proper divisors (23709788928).

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

8793372672 is a wasteful number, since it uses less digits than its factorization.

8793372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 8793372672 is about 93772.9847664027. The cubic root of 8793372672 is about 2064.0418235621.

The spelling of 8793372672 in words is "eight billion, seven hundred ninety-three million, three hundred seventy-two thousand, six hundred seventy-two".