9242726400 has 312 divisors, whose sum is σ = 33964472960. Its totient is φ = 2463989760.

The previous prime is 9242726357. The next prime is 9242726401. The reversal of 9242726400 is 46272429.

9242726400 is a `hidden beast` number, since 9 + 2 + 4 + 2 + 7 + 2 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242726401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763129 + ... + 2766471.

Almost surely, 2^9242726400 is an apocalyptic number.

9242726400 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 9242726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982236480).

9242726400 is an abundant number, since it is smaller than the sum of its proper divisors (24721746560).

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

9242726400 is a wasteful number, since it uses less digits than its factorization.

9242726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 9242726400 is about 96139.0992260693. The cubic root of 9242726400 is about 2098.6178660458.

Adding to 9242726400 its reverse (46272429), we get a palindrome (9288998829).

The spelling of 9242726400 in words is "nine billion, two hundred forty-two million, seven hundred twenty-six thousand, four hundred".