8736710330880 has 1920 divisors, whose sum is σ = 37655209912320. Its totient is φ = 1827422208000.

The previous prime is 8736710330867. The next prime is 8736710330941. The reversal of 8736710330880 is 880330176378.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28458339687 + ... + 28458339993.

It is an arithmetic number, because the mean of its divisors is an integer number (19612088496).

Almost surely, 2^{8736710330880} is an apocalyptic number.

8736710330880 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 8736710330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18827604956160).

8736710330880 is an abundant number, since it is smaller than the sum of its proper divisors (28918499581440).

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

8736710330880 is a wasteful number, since it uses less digits than its factorization.

8736710330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 8736710330880 in words is "eight trillion, seven hundred thirty-six billion, seven hundred ten million, three hundred thirty thousand, eight hundred eighty".