8509730400 has 360 divisors, whose sum is σ = 31800167784. Its totient is φ = 2213222400.

The previous prime is 8509730399. The next prime is 8509730413. The reversal of 8509730400 is 40379058.

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

It is a super-2 number, since 2×8509730400² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2655199 + ... + 2658401.

Almost surely, 2^8509730400 is an apocalyptic number.

8509730400 is a gapful number since it is divisible by the number (80) 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 8509730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900083892).

8509730400 is an abundant number, since it is smaller than the sum of its proper divisors (23290437384).

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

8509730400 is a wasteful number, since it uses less digits than its factorization.

8509730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 8509730400 is about 92248.1999824387. The cubic root of 8509730400 is about 2041.6060017700.

The spelling of 8509730400 in words is "eight billion, five hundred nine million, seven hundred thirty thousand, four hundred".