9976579560640 has 224 divisors, whose sum is σ = 29686281292800. Its totient is φ = 3102496542720.

The previous prime is 9976579560599. The next prime is 9976579560641. The reversal of 9976579560640 is 460659756799.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (9976579560641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10355806 + ... + 11278114.

Almost surely, 2^{9976579560640} 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 9976579560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843140646400).

9976579560640 is an abundant number, since it is smaller than the sum of its proper divisors (19709701732160).

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

9976579560640 is a wasteful number, since it uses less digits than its factorization.

9976579560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922783 (or 922773 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 73.

The spelling of 9976579560640 in words is "nine trillion, nine hundred seventy-six billion, five hundred seventy-nine million, five hundred sixty thousand, six hundred forty".