8832266793792 has 672 divisors, whose sum is σ = 28647876216960. Its totient is φ = 2583349493760.

The previous prime is 8832266793781. The next prime is 8832266793811. The reversal of 8832266793792 is 2973976622388.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8832266793792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10679886883 + ... + 10679887709.

It is an arithmetic number, because the mean of its divisors is an integer number (42630768180).

Almost surely, 2^{8832266793792} is an apocalyptic number.

8832266793792 is a gapful number since it is divisible by the number (82) 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 8832266793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323938108480).

8832266793792 is an abundant number, since it is smaller than the sum of its proper divisors (19815609423168).

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

8832266793792 is a wasteful number, since it uses less digits than its factorization.

8832266793792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1738 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 8832266793792 in words is "eight trillion, eight hundred thirty-two billion, two hundred sixty-six million, seven hundred ninety-three thousand, seven hundred ninety-two".