9992746869600 has 576 divisors, whose sum is σ = 37044437004288. Its totient is φ = 2316010752000.

The previous prime is 9992746869593. The next prime is 9992746869607. The reversal of 9992746869600 is 69686472999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9992746869593) and next prime (9992746869607).

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9992746869607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2229028959 + ... + 2229033441.

It is an arithmetic number, because the mean of its divisors is an integer number (64313258688).

Almost surely, 2^{9992746869600} 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 9992746869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522218502144).

9992746869600 is an abundant number, since it is smaller than the sum of its proper divisors (27051690134688).

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

9992746869600 is a wasteful number, since it uses less digits than its factorization.

9992746869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 75.

The spelling of 9992746869600 in words is "nine trillion, nine hundred ninety-two billion, seven hundred forty-six million, eight hundred sixty-nine thousand, six hundred".