8713106236800 has 1920 divisors, whose sum is σ = 38907868665600. Its totient is φ = 1877686272000.

The previous prime is 8713106236777. The next prime is 8713106236819. The reversal of 8713106236800 is 86326013178.

8713106236800 is a `hidden beast` number, since 8 + 7 + 1 + 3 + 10 + 623 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2262554875 + ... + 2262558725.

It is an arithmetic number, because the mean of its divisors is an integer number (20264514930).

Almost surely, 2^{8713106236800} is an apocalyptic number.

8713106236800 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 8713106236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19453934332800).

8713106236800 is an abundant number, since it is smaller than the sum of its proper divisors (30194762428800).

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

8713106236800 is a wasteful number, since it uses less digits than its factorization.

8713106236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 8713106236800 in words is "eight trillion, seven hundred thirteen billion, one hundred six million, two hundred thirty-six thousand, eight hundred".