8028065875968 has 768 divisors, whose sum is σ = 25506018720000. Its totient is φ = 2490472857600.

The previous prime is 8028065875967. The next prime is 8028065875969. The reversal of 8028065875968 is 8695785608208.

8028065875968 is a `hidden beast` number, since 8 + 0 + 28 + 0 + 6 + 5 + 8 + 7 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8028065875967) and next prime (8028065875969).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 8028065875896 and 8028065875905.

It is not an unprimeable number, because it can be changed into a prime (8028065875967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5014406368 + ... + 5014407968.

It is an arithmetic number, because the mean of its divisors is an integer number (33210961875).

Almost surely, 2^{8028065875968} 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 8028065875968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753009360000).

8028065875968 is an abundant number, since it is smaller than the sum of its proper divisors (17477952844032).

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

8028065875968 is a wasteful number, since it uses less digits than its factorization.

8028065875968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 8028065875968 in words is "eight trillion, twenty-eight billion, sixty-five million, eight hundred seventy-five thousand, nine hundred sixty-eight".