8095495680 has 240 divisors, whose sum is σ = 29514204720. Its totient is φ = 2045067264.

The previous prime is 8095495657. The next prime is 8095495711. The reversal of 8095495680 is 865945908.

It is a happy number.

8095495680 is a `hidden beast` number, since 8 + 0 + 95 + 495 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 428514 + ... + 447006.

It is an arithmetic number, because the mean of its divisors is an integer number (122975853).

Almost surely, 2^8095495680 is an apocalyptic number.

8095495680 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 8095495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757102360).

8095495680 is an abundant number, since it is smaller than the sum of its proper divisors (21418709040).

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

8095495680 is a wasteful number, since it uses less digits than its factorization.

8095495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18541 (or 18522 counting only the distinct ones).

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

The square root of 8095495680 is about 89974.9725201403. The cubic root of 8095495680 is about 2007.9265169958.

The spelling of 8095495680 in words is "eight billion, ninety-five million, four hundred ninety-five thousand, six hundred eighty".