9504280800 has 720 divisors, whose sum is σ = 41379351552. Its totient is φ = 2075673600.

The previous prime is 9504280789. The next prime is 9504280811. The reversal of 9504280800 is 80824059.

It is an interprime number because it is at equal distance from previous prime (9504280789) and next prime (9504280811).

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 10432345 + ... + 10433255.

Almost surely, 2^9504280800 is an apocalyptic number.

9504280800 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 9504280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20689675776).

9504280800 is an abundant number, since it is smaller than the sum of its proper divisors (31875070752).

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

9504280800 is a wasteful number, since it uses less digits than its factorization.

9504280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9504280800 is about 97489.9010154385. The cubic root of 9504280800 is about 2118.2298621394.

The spelling of 9504280800 in words is "nine billion, five hundred four million, two hundred eighty thousand, eight hundred".