8004122568 has 192 divisors, whose sum is σ = 24381748800. Its totient is φ = 2461897152.

The previous prime is 8004122557. The next prime is 8004122579. The reversal of 8004122568 is 8652214008.

8004122568 is a `hidden beast` number, since 80 + 0 + 4 + 12 + 2 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (8004122557) and next prime (8004122579).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2955471 + ... + 2958177.

It is an arithmetic number, because the mean of its divisors is an integer number (126988275).

Almost surely, 2^8004122568 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 8004122568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190874400).

8004122568 is an abundant number, since it is smaller than the sum of its proper divisors (16377626232).

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

8004122568 is a wasteful number, since it uses less digits than its factorization.

8004122568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8004122568 is about 89465.7619874776. The cubic root of 8004122568 is about 2000.3434883378.

The spelling of 8004122568 in words is "eight billion, four million, one hundred twenty-two thousand, five hundred sixty-eight".