9962789456 has 40 divisors (see below), whose sum is σ = 19989870120. Its totient is φ = 4804481024.

The previous prime is 9962789413. The next prime is 9962789471. The reversal of 9962789456 is 6549872699.

It can be written as a sum of positive squares in 4 ways, for example, as 3674299456 + 6288490000 = 60616^2 + 79300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9962789392 and 9962789401.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 442340 + ... + 464316.

It is an arithmetic number, because the mean of its divisors is an integer number (499746753).

Almost surely, 2^9962789456 is an apocalyptic number.

It is an amenable number.

9962789456 is an abundant number, since it is smaller than the sum of its proper divisors (10027080664).

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

9962789456 is a wasteful number, since it uses less digits than its factorization.

9962789456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991 (or 22985 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 65.

The square root of 9962789456 is about 99813.7738791596. The cubic root of 9962789456 is about 2151.7591123983.

The spelling of 9962789456 in words is "nine billion, nine hundred sixty-two million, seven hundred eighty-nine thousand, four hundred fifty-six".