8509495680 has 192 divisors, whose sum is σ = 33582276000. Its totient is φ = 1945018368.

The previous prime is 8509495651. The next prime is 8509495769. The reversal of 8509495680 is 865949058.

It is a happy number.

8509495680 is a `hidden beast` number, since 8 + 509 + 4 + 9 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×8509495680³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65205 + ... + 145844.

Almost surely, 2^8509495680 is an apocalyptic number.

8509495680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8509495680 is an abundant number, since it is smaller than the sum of its proper divisors (25072780320).

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

8509495680 is a wasteful number, since it uses less digits than its factorization.

8509495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211081 (or 211066 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 8509495680 is about 92246.9277537198. The cubic root of 8509495680 is about 2041.5872307027.

The spelling of 8509495680 in words is "eight billion, five hundred nine million, four hundred ninety-five thousand, six hundred eighty".