8048333664 has 480 divisors, whose sum is σ = 29045459520. Its totient is φ = 2133983232.

The previous prime is 8048333653. The next prime is 8048333669. The reversal of 8048333664 is 4663338408.

8048333664 is a `hidden beast` number, since 80 + 483 + 3 + 36 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048333669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29919322 + ... + 29919590.

It is an arithmetic number, because the mean of its divisors is an integer number (60511374).

Almost surely, 2^8048333664 is an apocalyptic number.

8048333664 is a gapful number since it is divisible by the number (84) 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 8048333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14522729760).

8048333664 is an abundant number, since it is smaller than the sum of its proper divisors (20997125856).

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

8048333664 is a wasteful number, since it uses less digits than its factorization.

8048333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 8048333664 is about 89712.5056165527. The cubic root of 8048333664 is about 2004.0197208429.

The spelling of 8048333664 in words is "eight billion, forty-eight million, three hundred thirty-three thousand, six hundred sixty-four".