9730134721800 has 144 divisors (see below), whose sum is σ = 32686692679680. Its totient is φ = 2593935792000.

The previous prime is 9730134721627. The next prime is 9730134721837. The reversal of 9730134721800 is 81274310379.

9730134721800 is a `hidden beast` number, since 97 + 3 + 0 + 1 + 347 + 218 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5306745 + ... + 6900855.

Almost surely, 2^{9730134721800} is an apocalyptic number.

9730134721800 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 9730134721800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16343346339840).

9730134721800 is an abundant number, since it is smaller than the sum of its proper divisors (22956557957880).

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

9730134721800 is a wasteful number, since it uses less digits than its factorization.

9730134721800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597524 (or 1597512 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 9730134721800 in words is "nine trillion, seven hundred thirty billion, one hundred thirty-four million, seven hundred twenty-one thousand, eight hundred".