8967980638720 has 160 divisors (see below), whose sum is σ = 22335929359920. Its totient is φ = 3449117736960.

The previous prime is 8967980638703. The next prime is 8967980638763. The reversal of 8967980638720 is 278360897698.

It can be written as a sum of positive squares in 8 ways, for example, as 6457860077824 + 2510120560896 = 2541232^2 + 1584336^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17641224 + ... + 18142456.

Almost surely, 2^{8967980638720} is an apocalyptic number.

8967980638720 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 8967980638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167964679960).

8967980638720 is an abundant number, since it is smaller than the sum of its proper divisors (13367948721200).

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

8967980638720 is a wasteful number, since it uses less digits than its factorization.

8967980638720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501526 (or 501510 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 73.

The spelling of 8967980638720 in words is "eight trillion, nine hundred sixty-seven billion, nine hundred eighty million, six hundred thirty-eight thousand, seven hundred twenty".