95065440768 has 120 divisors (see below), whose sum is σ = 274737817068. Its totient is φ = 31645458432.

The previous prime is 95065440761. The next prime is 95065440793. The reversal of 95065440768 is 86704456059.

95065440768 is a `hidden beast` number, since 95 + 0 + 6 + 544 + 0 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94637447424 + 427993344 = 307632^2 + 20688^2 .

It is not an unprimeable number, because it can be changed into a prime (95065440761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3474630 + ... + 3501882.

Almost surely, 2^95065440768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95065440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137368908534).

95065440768 is an abundant number, since it is smaller than the sum of its proper divisors (179672376300).

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

95065440768 is a wasteful number, since it uses less digits than its factorization.

95065440768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28034 (or 28015 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 95065440768 in words is "ninety-five billion, sixty-five million, four hundred forty thousand, seven hundred sixty-eight".