8042162381568 has 720 divisors, whose sum is σ = 28392775414080. Its totient is φ = 2215265697792.

The previous prime is 8042162381551. The next prime is 8042162381573. The reversal of 8042162381568 is 8651832612408.

8042162381568 is a `hidden beast` number, since 8 + 0 + 4 + 2 + 1 + 623 + 8 + 1 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×8042162381568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4853446596 + ... + 4853448252.

Almost surely, 2^{8042162381568} 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 8042162381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196387707040).

8042162381568 is an abundant number, since it is smaller than the sum of its proper divisors (20350613032512).

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

8042162381568 is a wasteful number, since it uses less digits than its factorization.

8042162381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 8042162381568 in words is "eight trillion, forty-two billion, one hundred sixty-two million, three hundred eighty-one thousand, five hundred sixty-eight".