9506534400 has 792 divisors, whose sum is σ = 38646835968. Its totient is φ = 2230272000.

The previous prime is 9506534393. The next prime is 9506534407. The reversal of 9506534400 is 44356059.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9506534393) and next prime (9506534407).

It is a tau number, because it is divible by the number of its divisors (792).

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 (9506534407) 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 71 ways as a sum of consecutive naturals, for example, 306662385 + ... + 306662415.

Almost surely, 2^9506534400 is an apocalyptic number.

9506534400 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 9506534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323417984).

9506534400 is an abundant number, since it is smaller than the sum of its proper divisors (29140301568).

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

9506534400 is a wasteful number, since it uses less digits than its factorization.

9506534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 9506534400 is about 97501.4584506304. The cubic root of 9506534400 is about 2118.3972697062.

The spelling of 9506534400 in words is "nine billion, five hundred six million, five hundred thirty-four thousand, four hundred".