9747410400 has 1728 divisors, whose sum is σ = 47771942400. Its totient is φ = 1881169920.

The previous prime is 9747410369. The next prime is 9747410423. The reversal of 9747410400 is 40147479.

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 287 ways as a sum of consecutive naturals, for example, 336117586 + ... + 336117614.

It is an arithmetic number, because the mean of its divisors is an integer number (27645800).

Almost surely, 2^9747410400 is an apocalyptic number.

9747410400 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 9747410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23885971200).

9747410400 is an abundant number, since it is smaller than the sum of its proper divisors (38024532000).

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

9747410400 is a wasteful number, since it uses less digits than its factorization.

9747410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 9747410400 is about 98728.9744705170. The cubic root of 9747410400 is about 2136.1401877440.

Adding to 9747410400 its reverse (40147479), we get a palindrome (9787557879).

The spelling of 9747410400 in words is "nine billion, seven hundred forty-seven million, four hundred ten thousand, four hundred".