9973729200 has 240 divisors, whose sum is σ = 34416654336. Its totient is φ = 2461747200.

The previous prime is 9973729153. The next prime is 9973729219. The reversal of 9973729200 is 29273799.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9973729200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 849772 + ... + 861428.

Almost surely, 2^9973729200 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 9973729200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208327168).

9973729200 is an abundant number, since it is smaller than the sum of its proper divisors (24442925136).

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

9973729200 is a wasteful number, since it uses less digits than its factorization.

9973729200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 48.

The square root of 9973729200 is about 99868.5596171288. The cubic root of 9973729200 is about 2152.5464114171.

The spelling of 9973729200 in words is "nine billion, nine hundred seventy-three million, seven hundred twenty-nine thousand, two hundred".