9906624000 has 1440 divisors, whose sum is σ = 46355845536. Its totient is φ = 2090188800.

The previous prime is 9906623989. The next prime is 9906624001. The reversal of 9906624000 is 4266099.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9906624001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 762047994 + ... + 762048006.

Almost surely, 2^9906624000 is an apocalyptic number.

9906624000 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 9906624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23177922768).

9906624000 is an abundant number, since it is smaller than the sum of its proper divisors (36449221536).

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

9906624000 is an equidigital number, since it uses as much as digits as its factorization.

9906624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9906624000 is about 99532.0249969828. The cubic root of 9906624000 is about 2147.7079594223.

The spelling of 9906624000 in words is "nine billion, nine hundred six million, six hundred twenty-four thousand".