9996830400 has 504 divisors, whose sum is σ = 35670605824. Its totient is φ = 2448230400.

The previous prime is 9996830357. The next prime is 9996830489. The reversal of 9996830400 is 40386999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9996830400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78715137 + ... + 78715263.

Almost surely, 2^9996830400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17835302912).

9996830400 is an abundant number, since it is smaller than the sum of its proper divisors (25673775424).

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

9996830400 is a wasteful number, since it uses less digits than its factorization.

9996830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 9996830400 is about 99984.1507440054. The cubic root of 9996830400 is about 2154.2070427720.

The spelling of 9996830400 in words is "nine billion, nine hundred ninety-six million, eight hundred thirty thousand, four hundred".