9963158400 has 864 divisors, whose sum is σ = 40620949200. Its totient is φ = 2319482880.

The previous prime is 9963158339. The next prime is 9963158411. The reversal of 9963158400 is 48513699.

It is a happy number.

9963158400 is a `hidden beast` number, since 9 + 9 + 63 + 1 + 584 + 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 107 ways as a sum of consecutive naturals, for example, 111945556 + ... + 111945644.

Almost surely, 2^9963158400 is an apocalyptic number.

9963158400 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 9963158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20310474600).

9963158400 is an abundant number, since it is smaller than the sum of its proper divisors (30657790800).

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

9963158400 is a wasteful number, since it uses less digits than its factorization.

9963158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9963158400 is about 99815.6220238095. The cubic root of 9963158400 is about 2151.7856735275.

The spelling of 9963158400 in words is "nine billion, nine hundred sixty-three million, one hundred fifty-eight thousand, four hundred".