8731164648960 has 960 divisors, whose sum is σ = 33839767241280. Its totient is φ = 2147758571520.

The previous prime is 8731164648931. The next prime is 8731164648991. The reversal of 8731164648960 is 698464611378.

It is a happy number.

8731164648960 is a `hidden beast` number, since 8 + 7 + 31 + 1 + 6 + 464 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×8731164648960² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5895451420 + ... + 5895452900.

It is an arithmetic number, because the mean of its divisors is an integer number (35249757543).

Almost surely, 2^{8731164648960} is an apocalyptic number.

8731164648960 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 8731164648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16919883620640).

8731164648960 is an abundant number, since it is smaller than the sum of its proper divisors (25108602592320).

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

8731164648960 is an frugal number, since it uses more digits than its factorization.

8731164648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 8731164648960 in words is "eight trillion, seven hundred thirty-one billion, one hundred sixty-four million, six hundred forty-eight thousand, nine hundred sixty".