8042296896 has 336 divisors, whose sum is σ = 26660612160. Its totient is φ = 2388787200.

The previous prime is 8042296891. The next prime is 8042296901. The reversal of 8042296896 is 6986922408.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8042296891) and next prime (8042296901).

It is a super-2 number, since 2×8042296896² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8042296891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5022496 + ... + 5024096.

It is an arithmetic number, because the mean of its divisors is an integer number (79347060).

Almost surely, 2^8042296896 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 8042296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330306080).

8042296896 is an abundant number, since it is smaller than the sum of its proper divisors (18618315264).

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

8042296896 is a wasteful number, since it uses less digits than its factorization.

8042296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8042296896 is about 89678.8542299688. The cubic root of 8042296896 is about 2003.5185476147.

The spelling of 8042296896 in words is "eight billion, forty-two million, two hundred ninety-six thousand, eight hundred ninety-six".