8713933240320 has 3840 divisors, whose sum is σ = 42194292940800. Its totient is φ = 1665462435840.

The previous prime is 8713933240297. The next prime is 8713933240333. The reversal of 8713933240320 is 230423393178.

8713933240320 is a `hidden beast` number, since 87 + 1 + 3 + 9 + 3 + 3 + 240 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 319 ways as a sum of consecutive naturals, for example, 52179240877 + ... + 52179241043.

It is an arithmetic number, because the mean of its divisors is an integer number (10988097120).

Almost surely, 2^{8713933240320} is an apocalyptic number.

8713933240320 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 8713933240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097146470400).

8713933240320 is an abundant number, since it is smaller than the sum of its proper divisors (33480359700480).

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

8713933240320 is a wasteful number, since it uses less digits than its factorization.

8713933240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 8713933240320 in words is "eight trillion, seven hundred thirteen billion, nine hundred thirty-three million, two hundred forty thousand, three hundred twenty".