8042837264 has 120 divisors (see below), whose sum is σ = 20457619200. Its totient is φ = 3025424640.

The previous prime is 8042837239. The next prime is 8042837279. The reversal of 8042837264 is 4627382408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 23 ways as a sum of consecutive naturals, for example, 234017 + ... + 266175.

It is an arithmetic number, because the mean of its divisors is an integer number (170480160).

Almost surely, 2^8042837264 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 8042837264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228809600).

8042837264 is an abundant number, since it is smaller than the sum of its proper divisors (12414781936).

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

8042837264 is a wasteful number, since it uses less digits than its factorization.

8042837264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32221 (or 32208 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 8042837264 is about 89681.8669743221. The cubic root of 8042837264 is about 2003.5634192509.

The spelling of 8042837264 in words is "eight billion, forty-two million, eight hundred thirty-seven thousand, two hundred sixty-four".