9736230067200 has 3564 divisors, whose sum is σ = 45711960668400. Its totient is φ = 2054237552640.

The previous prime is 9736230067183. The next prime is 9736230067217. The reversal of 9736230067200 is 27600326379.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (9736230067183) and next prime (9736230067217).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 748940774394 + ... + 748940774406.

Almost surely, 2^{9736230067200} is an apocalyptic number.

9736230067200 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 9736230067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855980334200).

9736230067200 is an abundant number, since it is smaller than the sum of its proper divisors (35975730601200).

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

9736230067200 is an frugal number, since it uses more digits than its factorization.

9736230067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 9736230067200 in words is "nine trillion, seven hundred thirty-six billion, two hundred thirty million, sixty-seven thousand, two hundred".