9963302400 has 480 divisors, whose sum is σ = 37020487680. Its totient is φ = 2624348160.

The previous prime is 9963302399. The next prime is 9963302429. The reversal of 9963302400 is 42033699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43891087 + ... + 43891313.

It is an arithmetic number, because the mean of its divisors is an integer number (77126016).

Almost surely, 2^9963302400 is an apocalyptic number.

9963302400 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 9963302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510243840).

9963302400 is an abundant number, since it is smaller than the sum of its proper divisors (27057185280).

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

9963302400 is a wasteful number, since it uses less digits than its factorization.

9963302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 9963302400 is about 99816.3433511767. The cubic root of 9963302400 is about 2151.7960402416.

The spelling of 9963302400 in words is "nine billion, nine hundred sixty-three million, three hundred two thousand, four hundred".