8065705387968 has 280 divisors, whose sum is σ = 24048599189472. Its totient is φ = 2672922986496.

The previous prime is 8065705387843. The next prime is 8065705387973. The reversal of 8065705387968 is 8697835075608.

8065705387968 is a `hidden beast` number, since 80 + 6 + 5 + 7 + 0 + 538 + 7 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8065705387896 and 8065705387905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2096620221 + ... + 2096624067.

Almost surely, 2^{8065705387968} 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 8065705387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024299594736).

8065705387968 is an abundant number, since it is smaller than the sum of its proper divisors (15982893801504).

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

8065705387968 is a wasteful number, since it uses less digits than its factorization.

8065705387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6102 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 8065705387968 in words is "eight trillion, sixty-five billion, seven hundred five million, three hundred eighty-seven thousand, nine hundred sixty-eight".