8249789144880 has 720 divisors, whose sum is σ = 30439548404928. Its totient is φ = 1997786419200.

The previous prime is 8249789144873. The next prime is 8249789144963. The reversal of 8249789144880 is 884419879428.

8249789144880 is a `hidden beast` number, since 8 + 2 + 4 + 97 + 8 + 91 + 448 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 8249789144799 and 8249789144808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 843445590 + ... + 843455370.

Almost surely, 2^{8249789144880} is an apocalyptic number.

8249789144880 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 8249789144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15219774202464).

8249789144880 is an abundant number, since it is smaller than the sum of its proper divisors (22189759260048).

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

8249789144880 is a wasteful number, since it uses less digits than its factorization.

8249789144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 8249789144880 in words is "eight trillion, two hundred forty-nine billion, seven hundred eighty-nine million, one hundred forty-four thousand, eight hundred eighty".