8065768920468 has 192 divisors, whose sum is σ = 21785879808000. Its totient is φ = 2275058741760.

The previous prime is 8065768920421. The next prime is 8065768920511. The reversal of 8065768920468 is 8640298675608.

It is a super-2 number, since 2×8065768920468² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1218574863 + ... + 1218581481.

It is an arithmetic number, because the mean of its divisors is an integer number (113468124000).

Almost surely, 2^{8065768920468} 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 8065768920468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892939904000).

8065768920468 is an abundant number, since it is smaller than the sum of its proper divisors (13720110887532).

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

8065768920468 is a wasteful number, since it uses less digits than its factorization.

8065768920468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 69.

The spelling of 8065768920468 in words is "eight trillion, sixty-five billion, seven hundred sixty-eight million, nine hundred twenty thousand, four hundred sixty-eight".