8729791488000 has 672 divisors, whose sum is σ = 34333366590432. Its totient is φ = 2116288512000.

The previous prime is 8729791487917. The next prime is 8729791488007. The reversal of 8729791488000 is 8841979278.

8729791488000 is a `hidden beast` number, since 87 + 2 + 9 + 79 + 1 + 488 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8729791488007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101332944 + ... + 101419056.

It is an arithmetic number, because the mean of its divisors is an integer number (51091319331).

Almost surely, 2^{8729791488000} is an apocalyptic number.

8729791488000 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 8729791488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166683295216).

8729791488000 is an abundant number, since it is smaller than the sum of its proper divisors (25603575102432).

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

8729791488000 is a wasteful number, since it uses less digits than its factorization.

8729791488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86171 (or 86134 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 8729791488000 in words is "eight trillion, seven hundred twenty-nine billion, seven hundred ninety-one million, four hundred eighty-eight thousand".