9956793600 has 324 divisors, whose sum is σ = 38338958476. Its totient is φ = 2450718720.

The previous prime is 9956793593. The next prime is 9956793601. The reversal of 9956793600 is 63976599.

It can be written as a sum of positive squares in 6 ways, for example, as 4124722176 + 5832071424 = 64224^2 + 76368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9956793601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 742152 + ... + 755448.

Almost surely, 2^9956793600 is an apocalyptic number.

9956793600 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 9956793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169479238).

9956793600 is an abundant number, since it is smaller than the sum of its proper divisors (28382164876).

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

9956793600 is a wasteful number, since it uses less digits than its factorization.

9956793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13342 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 9956793600 is about 99783.7341454007. The cubic root of 9956793600 is about 2151.3273649483.

The spelling of 9956793600 in words is "nine billion, nine hundred fifty-six million, seven hundred ninety-three thousand, six hundred".