9996372000 has 240 divisors, whose sum is σ = 36691206552. Its totient is φ = 2665612800.

The previous prime is 9996371971. The next prime is 9996372013. The reversal of 9996372000 is 2736999.

9996372000 is a `hidden beast` number, since 9 + 9 + 9 + 637 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1147583376 + 8848788624 = 33876^2 + 94068^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308574 + ... + 339426.

Almost surely, 2^9996372000 is an apocalyptic number.

9996372000 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 9996372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345603276).

9996372000 is an abundant number, since it is smaller than the sum of its proper divisors (26694834552).

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

9996372000 is a wasteful number, since it uses less digits than its factorization.

9996372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30890 (or 30863 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 9996372000 is about 99981.8583544035. The cubic root of 9996372000 is about 2154.1741155487.

The spelling of 9996372000 in words is "nine billion, nine hundred ninety-six million, three hundred seventy-two thousand".