9609350400 has 648 divisors, whose sum is σ = 38021821656. Its totient is φ = 2300313600.

The previous prime is 9609350369. The next prime is 9609350449. The reversal of 9609350400 is 40539069.

9609350400 is a `hidden beast` number, since 9 + 60 + 93 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 9206786304 + 402564096 = 95952^2 + 20064^2 .

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, 30700644 + ... + 30700956.

Almost surely, 2^9609350400 is an apocalyptic number.

9609350400 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 9609350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010910828).

9609350400 is an abundant number, since it is smaller than the sum of its proper divisors (28412471256).

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

9609350400 is a wasteful number, since it uses less digits than its factorization.

9609350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 9609350400 is about 98027.2941583108. The cubic root of 9609350400 is about 2126.0069340909.

Adding to 9609350400 its reverse (40539069), we get a palindrome (9649889469).

The spelling of 9609350400 in words is "nine billion, six hundred nine million, three hundred fifty thousand, four hundred".