8395709736960 has 3456 divisors, whose sum is σ = 39776156784000. Its totient is φ = 1669475598336.

The previous prime is 8395709736919. The next prime is 8395709737007. The reversal of 8395709736960 is 696379075938.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 43501086624 + ... + 43501086816.

It is an arithmetic number, because the mean of its divisors is an integer number (11509304625).

Almost surely, 2^{8395709736960} is an apocalyptic number.

8395709736960 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 8395709736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888078392000).

8395709736960 is an abundant number, since it is smaller than the sum of its proper divisors (31380447047040).

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

8395709736960 is a wasteful number, since it uses less digits than its factorization.

8395709736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 8395709736960 in words is "eight trillion, three hundred ninety-five billion, seven hundred nine million, seven hundred thirty-six thousand, nine hundred sixty".