8713242720000 has 4320 divisors, whose sum is σ = 41837507712000. Its totient is φ = 1728663552000.

The previous prime is 8713242719999. The next prime is 8713242720029. The reversal of 8713242720000 is 272423178.

8713242720000 is a `hidden beast` number, since 87 + 132 + 427 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 147682079971 + ... + 147682080029.

Almost surely, 2^{8713242720000} is an apocalyptic number.

8713242720000 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 8713242720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918753856000).

8713242720000 is an abundant number, since it is smaller than the sum of its proper divisors (33124264992000).

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

8713242720000 is a wasteful number, since it uses less digits than its factorization.

8713242720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 8713242720000 in words is "eight trillion, seven hundred thirteen billion, two hundred forty-two million, seven hundred twenty thousand".