8064403968 has 240 divisors, whose sum is σ = 23486737824. Its totient is φ = 2456616960.

The previous prime is 8064403943. The next prime is 8064403987. The reversal of 8064403968 is 8693044608.

It is a super-2 number, since 2×8064403968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16424203 + ... + 16424693.

Almost surely, 2^8064403968 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 8064403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11743368912).

8064403968 is an abundant number, since it is smaller than the sum of its proper divisors (15422333856).

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

8064403968 is a wasteful number, since it uses less digits than its factorization.

8064403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 8064403968 is about 89802.0265250178. The cubic root of 8064403968 is about 2005.3526590739.

The spelling of 8064403968 in words is "eight billion, sixty-four million, four hundred three thousand, nine hundred sixty-eight".