9725774400 has 504 divisors, whose sum is σ = 35941345440. Its totient is φ = 2492743680.

The previous prime is 9725774353. The next prime is 9725774407. The reversal of 9725774400 is 44775279.

9725774400 is a `hidden beast` number, since 9 + 72 + 577 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9725774407) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 69969531 + ... + 69969669.

Almost surely, 2^9725774400 is an apocalyptic number.

9725774400 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 9725774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17970672720).

9725774400 is an abundant number, since it is smaller than the sum of its proper divisors (26215571040).

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

9725774400 is a wasteful number, since it uses less digits than its factorization.

9725774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 9725774400 is about 98619.3409022794. The cubic root of 9725774400 is about 2134.5585106534.

The spelling of 9725774400 in words is "nine billion, seven hundred twenty-five million, seven hundred seventy-four thousand, four hundred".