9962412544 has 160 divisors (see below), whose sum is σ = 23387253120. Its totient is φ = 4151427072.

The previous prime is 9962412529. The next prime is 9962412553. The reversal of 9962412544 is 4452142699.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9962412494 and 9962412503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34001262 + ... + 34001554.

It is an arithmetic number, because the mean of its divisors is an integer number (146170332).

Almost surely, 2^9962412544 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 9962412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693626560).

9962412544 is an abundant number, since it is smaller than the sum of its proper divisors (13424840576).

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

9962412544 is a wasteful number, since it uses less digits than its factorization.

9962412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 9962412544 is about 99811.8857852110. The cubic root of 9962412544 is about 2151.7319769572.

The spelling of 9962412544 in words is "nine billion, nine hundred sixty-two million, four hundred twelve thousand, five hundred forty-four".