9996464308480 has 288 divisors, whose sum is σ = 26578193630688. Its totient is φ = 3578403225600.

The previous prime is 9996464308427. The next prime is 9996464308487. The reversal of 9996464308480 is 848034646999.

It can be written as a sum of positive squares in 16 ways, for example, as 319487213824 + 9676977094656 = 565232^2 + 3110784^2 .

It is not an unprimeable number, because it can be changed into a prime (9996464308487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172977190 + ... + 173034970.

It is an arithmetic number, because the mean of its divisors is an integer number (92285394551).

Almost surely, 2^{9996464308480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996464308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13289096815344).

9996464308480 is an abundant number, since it is smaller than the sum of its proper divisors (16581729322208).

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

9996464308480 is a wasteful number, since it uses less digits than its factorization.

9996464308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58133 (or 58119 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 70.

The spelling of 9996464308480 in words is "nine trillion, nine hundred ninety-six billion, four hundred sixty-four million, three hundred eight thousand, four hundred eighty".