9749413627200 has 1680 divisors, whose sum is σ = 41010457506480. Its totient is φ = 2254059601920.

The previous prime is 9749413627169. The next prime is 9749413627201. The reversal of 9749413627200 is 27263149479.

9749413627200 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 4 + 1 + 3 + 627 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3102050877696 + 6647362749504 = 1761264^2 + 2578248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9749413627201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1807787704 + ... + 1807793096.

It is an arithmetic number, because the mean of its divisors is an integer number (24410986611).

Almost surely, 2^{9749413627200} is an apocalyptic number.

9749413627200 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 9749413627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20505228753240).

9749413627200 is an abundant number, since it is smaller than the sum of its proper divisors (31261043879280).

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

9749413627200 is a wasteful number, since it uses less digits than its factorization.

9749413627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 9749413627200 in words is "nine trillion, seven hundred forty-nine billion, four hundred thirteen million, six hundred twenty-seven thousand, two hundred".