9742956800 has 162 divisors, whose sum is σ = 25457405778. Its totient is φ = 3691192320.

The previous prime is 9742956767. The next prime is 9742956829. The reversal of 9742956800 is 86592479.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2024280064 + 7718676736 = 44992^2 + 87856^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2308292 + ... + 2312508.

Almost surely, 2^9742956800 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 9742956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728702889).

9742956800 is an abundant number, since it is smaller than the sum of its proper divisors (15714448978).

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

9742956800 is a wasteful number, since it uses less digits than its factorization.

9742956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 9742956800 is about 98706.4172179297. The cubic root of 9742956800 is about 2135.8148034341.

The spelling of 9742956800 in words is "nine billion, seven hundred forty-two million, nine hundred fifty-six thousand, eight hundred".