9978906633696 has 576 divisors, whose sum is σ = 38450953981440. Its totient is φ = 2370587627520.

The previous prime is 9978906633691. The next prime is 9978906633701. The reversal of 9978906633696 is 6963366098799.

It is an interprime number because it is at equal distance from previous prime (9978906633691) and next prime (9978906633701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9978906633691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31264611 + ... + 31582173.

It is an arithmetic number, because the mean of its divisors is an integer number (66755128440).

Almost surely, 2^{9978906633696} is an apocalyptic number.

9978906633696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9978906633696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19225476990720).

9978906633696 is an abundant number, since it is smaller than the sum of its proper divisors (28472047347744).

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

9978906633696 is a wasteful number, since it uses less digits than its factorization.

9978906633696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317719 (or 317708 counting only the distinct ones).

The product of its (nonzero) digits is 4285540224, while the sum is 81.

The spelling of 9978906633696 in words is "nine trillion, nine hundred seventy-eight billion, nine hundred six million, six hundred thirty-three thousand, six hundred ninety-six".