8509470720 has 384 divisors, whose sum is σ = 29248128000. Its totient is φ = 2105671680.

The previous prime is 8509470719. The next prime is 8509470721. The reversal of 8509470720 is 270749058.

It is an interprime number because it is at equal distance from previous prime (8509470719) and next prime (8509470721).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8509470720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509470721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35604361 + ... + 35604599.

It is an arithmetic number, because the mean of its divisors is an integer number (76167000).

Almost surely, 2^8509470720 is an apocalyptic number.

8509470720 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 8509470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064000).

8509470720 is an abundant number, since it is smaller than the sum of its proper divisors (20738657280).

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

8509470720 is a wasteful number, since it uses less digits than its factorization.

8509470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 8509470720 is about 92246.7924645621. The cubic root of 8509470720 is about 2041.5852345771.

The spelling of 8509470720 in words is "eight billion, five hundred nine million, four hundred seventy thousand, seven hundred twenty".