8042318592 has 576 divisors, whose sum is σ = 28482306048. Its totient is φ = 1953792000.

The previous prime is 8042318587. The next prime is 8042318611. The reversal of 8042318592 is 2958132408.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75161803 + ... + 75161909.

It is an arithmetic number, because the mean of its divisors is an integer number (49448448).

Almost surely, 2^8042318592 is an apocalyptic number.

8042318592 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042318592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14241153024).

8042318592 is an abundant number, since it is smaller than the sum of its proper divisors (20439987456).

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

8042318592 is a wasteful number, since it uses less digits than its factorization.

8042318592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8042318592 is about 89678.9751948582. The cubic root of 8042318592 is about 2003.5203492682.

The spelling of 8042318592 in words is "eight billion, forty-two million, three hundred eighteen thousand, five hundred ninety-two".