9505688400 has 360 divisors, whose sum is σ = 37073627136. Its totient is φ = 2237875200.

The previous prime is 9505688371. The next prime is 9505688443. The reversal of 9505688400 is 48865059.

9505688400 is a `hidden beast` number, since 9 + 5 + 0 + 568 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×9505688400² (a number of 21 digits) contains 22 as substring.

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

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, 1071985 + ... + 1080815.

Almost surely, 2^9505688400 is an apocalyptic number.

9505688400 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 9505688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536813568).

9505688400 is an abundant number, since it is smaller than the sum of its proper divisors (27567938736).

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

9505688400 is a wasteful number, since it uses less digits than its factorization.

9505688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8877 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 9505688400 is about 97497.1199574634. The cubic root of 9505688400 is about 2118.3344281147.

The spelling of 9505688400 in words is "nine billion, five hundred five million, six hundred eighty-eight thousand, four hundred".