8464000000 has 231 divisors, whose sum is σ = 22108916221. Its totient is φ = 3238400000.

The previous prime is 8463999959. The next prime is 8464000003. The reversal of 8464000000 is 4648.

The square root of 8464000000 is 92000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 7415276544 + 1048723456 = 86112^2 + 32384^2 .

It is not an unprimeable number, because it can be changed into a prime (8464000003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 367999989 + ... + 368000011.

Almost surely, 2^8464000000 is an apocalyptic number.

8464000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8464000000 is the 92000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8464000000

8464000000 is an abundant number, since it is smaller than the sum of its proper divisors (13644916221).

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

8464000000 is an frugal number, since it uses more digits than its factorization.

8464000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 8464000000 is about 2037.9423055219.

Adding to 8464000000 its reverse (4648), we get a palindrome (8464004648).

The spelling of 8464000000 in words is "eight billion, four hundred sixty-four million", and thus it is an aban number.