8807742496000 has 288 divisors, whose sum is σ = 25084888028928. Its totient is φ = 3018684211200.

The previous prime is 8807742495997. The next prime is 8807742496043. The reversal of 8807742496000 is 6942477088.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809306559 + ... + 809317441.

It is an arithmetic number, because the mean of its divisors is an integer number (87100305656).

Almost surely, 2^{8807742496000} is an apocalyptic number.

8807742496000 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 8807742496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542444014464).

8807742496000 is an abundant number, since it is smaller than the sum of its proper divisors (16277145532928).

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

8807742496000 is a wasteful number, since it uses less digits than its factorization.

8807742496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14534 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 8807742496000 in words is "eight trillion, eight hundred seven billion, seven hundred forty-two million, four hundred ninety-six thousand".