9743126400 has 576 divisors, whose sum is σ = 41040230400. Its totient is φ = 2153779200.

The previous prime is 9743126387. The next prime is 9743126423. The reversal of 9743126400 is 46213479.

9743126400 is a `hidden beast` number, since 9 + 7 + 4 + 3 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6248821 + ... + 6250379.

It is an arithmetic number, because the mean of its divisors is an integer number (71250400).

Almost surely, 2^9743126400 is an apocalyptic number.

9743126400 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 9743126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520115200).

9743126400 is an abundant number, since it is smaller than the sum of its proper divisors (31297104000).

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

9743126400 is a wasteful number, since it uses less digits than its factorization.

9743126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9743126400 is about 98707.2763275332. The cubic root of 9743126400 is about 2135.8271963895.

Adding to 9743126400 its reverse (46213479), we get a palindrome (9789339879).

The spelling of 9743126400 in words is "nine billion, seven hundred forty-three million, one hundred twenty-six thousand, four hundred".