9942628663296 has 1280 divisors, whose sum is σ = 36174816691200. Its totient is φ = 2659898621952.

The previous prime is 9942628663283. The next prime is 9942628663351. The reversal of 9942628663296 is 6923668262499.

9942628663296 is a `hidden beast` number, since 9 + 9 + 426 + 2 + 86 + 6 + 32 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22648356645 + ... + 22648357083.

It is an arithmetic number, because the mean of its divisors is an integer number (28261575540).

Almost surely, 2^{9942628663296} is an apocalyptic number.

9942628663296 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 9942628663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087408345600).

9942628663296 is an abundant number, since it is smaller than the sum of its proper divisors (26232188027904).

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

9942628663296 is an equidigital number, since it uses as much as digits as its factorization.

9942628663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 527 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

The spelling of 9942628663296 in words is "nine trillion, nine hundred forty-two billion, six hundred twenty-eight million, six hundred sixty-three thousand, two hundred ninety-six".