9962564448 has 96 divisors (see below), whose sum is σ = 27470403072. Its totient is φ = 3155328000.

The previous prime is 9962564411. The next prime is 9962564449. The reversal of 9962564448 is 8444652699.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962564449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318468 + ... + 348348.

It is an arithmetic number, because the mean of its divisors is an integer number (286150032).

Almost surely, 2^9962564448 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 9962564448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735201536).

9962564448 is an abundant number, since it is smaller than the sum of its proper divisors (17507838624).

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

9962564448 is a wasteful number, since it uses less digits than its factorization.

9962564448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30068 (or 30060 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The square root of 9962564448 is about 99812.6467337682. The cubic root of 9962564448 is about 2151.7429132317.

The spelling of 9962564448 in words is "nine billion, nine hundred sixty-two million, five hundred sixty-four thousand, four hundred forty-eight".