9983001600 has 1056 divisors, whose sum is σ = 43495966080. Its totient is φ = 2211840000.

The previous prime is 9983001599. The next prime is 9983001601. The reversal of 9983001600 is 61003899.

It is an interprime number because it is at equal distance from previous prime (9983001599) and next prime (9983001601).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (9983001601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98841550 + ... + 98841650.

Almost surely, 2^9983001600 is an apocalyptic number.

9983001600 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 9983001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21747983040).

9983001600 is an abundant number, since it is smaller than the sum of its proper divisors (33512964480).

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

9983001600 is a wasteful number, since it uses less digits than its factorization.

9983001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9983001600 is about 99914.9718510694. The cubic root of 9983001600 is about 2153.2132662741.

The spelling of 9983001600 in words is "nine billion, nine hundred eighty-three million, one thousand, six hundred".