8464041264 has 240 divisors, whose sum is σ = 27503001600. Its totient is φ = 2228663808.

The previous prime is 8464041263. The next prime is 8464041281. The reversal of 8464041264 is 4621404648.

It is not an unprimeable number, because it can be changed into a prime (8464041263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1650897 + ... + 1656015.

It is an arithmetic number, because the mean of its divisors is an integer number (114595840).

Almost surely, 2^8464041264 is an apocalyptic number.

8464041264 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 8464041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13751500800).

8464041264 is an abundant number, since it is smaller than the sum of its proper divisors (19038960336).

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

8464041264 is a wasteful number, since it uses less digits than its factorization.

8464041264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 8464041264 is about 92000.2242605962. The cubic root of 8464041264 is about 2037.9456173333.

The spelling of 8464041264 in words is "eight billion, four hundred sixty-four million, forty-one thousand, two hundred sixty-four".