9730691942400 has 864 divisors, whose sum is σ = 40941748935360. Its totient is φ = 2177482752000.

The previous prime is 9730691942371. The next prime is 9730691942449. The reversal of 9730691942400 is 42491960379.

9730691942400 is a `hidden beast` number, since 9 + 7 + 306 + 9 + 1 + 94 + 240 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 65820565 + ... + 65968235.

It is an arithmetic number, because the mean of its divisors is an integer number (47386283490).

Almost surely, 2^{9730691942400} is an apocalyptic number.

9730691942400 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 9730691942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20470874467680).

9730691942400 is an abundant number, since it is smaller than the sum of its proper divisors (31211056992960).

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

9730691942400 is a wasteful number, since it uses less digits than its factorization.

9730691942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147733 (or 147705 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9730691942400 in words is "nine trillion, seven hundred thirty billion, six hundred ninety-one million, nine hundred forty-two thousand, four hundred".