9956335680 has 672 divisors, whose sum is σ = 38001000960. Its totient is φ = 2384363520.

The previous prime is 9956335639. The next prime is 9956335687. The reversal of 9956335680 is 865336599.

It is not an unprimeable number, because it can be changed into a prime (9956335687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136388124 + ... + 136388196.

Almost surely, 2^9956335680 is an apocalyptic number.

9956335680 is a gapful number since it is divisible by the number (90) 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 9956335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000500480).

9956335680 is an abundant number, since it is smaller than the sum of its proper divisors (28044665280).

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

9956335680 is a wasteful number, since it uses less digits than its factorization.

9956335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 9956335680 is about 99781.4395566630. The cubic root of 9956335680 is about 2151.2943840856.

The spelling of 9956335680 in words is "nine billion, nine hundred fifty-six million, three hundred thirty-five thousand, six hundred eighty".