9956966400 has 540 divisors, whose sum is σ = 37132744012. Its totient is φ = 2548039680.

The previous prime is 9956966381. The next prime is 9956966443. The reversal of 9956966400 is 46696599.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 141705216 + 9815261184 = 11904^2 + 99072^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 136396764 + ... + 136396836.

Almost surely, 2^9956966400 is an apocalyptic number.

9956966400 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 9956966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18566372006).

9956966400 is an abundant number, since it is smaller than the sum of its proper divisors (27175777612).

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

9956966400 is a wasteful number, since it uses less digits than its factorization.

9956966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 9956966400 is about 99784.6000142307. The cubic root of 9956966400 is about 2151.3398102941.

The spelling of 9956966400 in words is "nine billion, nine hundred fifty-six million, nine hundred sixty-six thousand, four hundred".