9996350400 has 336 divisors, whose sum is σ = 36708588000. Its totient is φ = 2646097920.

The previous prime is 9996350393. The next prime is 9996350437. The reversal of 9996350400 is 40536999.

It is a happy number.

9996350400 is a `hidden beast` number, since 9 + 9 + 9 + 635 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6436024 + ... + 6437576.

It is an arithmetic number, because the mean of its divisors is an integer number (109251750).

Almost surely, 2^9996350400 is an apocalyptic number.

9996350400 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 9996350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354294000).

9996350400 is an abundant number, since it is smaller than the sum of its proper divisors (26712237600).

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

9996350400 is a wasteful number, since it uses less digits than its factorization.

9996350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 9996350400 is about 99981.7503347486. The cubic root of 9996350400 is about 2154.1725639793.

The spelling of 9996350400 in words is "nine billion, nine hundred ninety-six million, three hundred fifty thousand, four hundred".