9973891200 has 768 divisors, whose sum is σ = 41434848000. Its totient is φ = 2095349760.

The previous prime is 9973891181. The next prime is 9973891219. The reversal of 9973891200 is 21983799.

It is an interprime number because it is at equal distance from previous prime (9973891181) and next prime (9973891219).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9973891200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42806284 + ... + 42806516.

It is an arithmetic number, because the mean of its divisors is an integer number (53951625).

Almost surely, 2^9973891200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9973891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424000).

9973891200 is an abundant number, since it is smaller than the sum of its proper divisors (31460956800).

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

9973891200 is a wasteful number, since it uses less digits than its factorization.

9973891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9973891200 is about 99869.3706799037. The cubic root of 9973891200 is about 2152.5580657216.

The spelling of 9973891200 in words is "nine billion, nine hundred seventy-three million, eight hundred ninety-one thousand, two hundred".