8048830464 has 384 divisors, whose sum is σ = 25788672000. Its totient is φ = 2472394752.

The previous prime is 8048830397. The next prime is 8048830469. The reversal of 8048830464 is 4640388408.

8048830464 is a `hidden beast` number, since 80 + 4 + 88 + 30 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048830469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49379247 + ... + 49379409.

It is an arithmetic number, because the mean of its divisors is an integer number (67158000).

Almost surely, 2^8048830464 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 8048830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12894336000).

8048830464 is an abundant number, since it is smaller than the sum of its proper divisors (17739841536).

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

8048830464 is a wasteful number, since it uses less digits than its factorization.

8048830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 8048830464 is about 89715.2744185738. The cubic root of 8048830464 is about 2004.0609540784.

The spelling of 8048830464 in words is "eight billion, forty-eight million, eight hundred thirty thousand, four hundred sixty-four".