8033953408 has 64 divisors (see below), whose sum is σ = 17276301000. Its totient is φ = 3699376128.

The previous prime is 8033953391. The next prime is 8033953453. The reversal of 8033953408 is 8043593308.

It can be written as a sum of positive squares in 4 ways, for example, as 7521745984 + 512207424 = 86728^2 + 22632^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 741760 + ... + 752512.

Almost surely, 2^8033953408 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 8033953408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638150500).

8033953408 is an abundant number, since it is smaller than the sum of its proper divisors (9242347592).

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

8033953408 is a wasteful number, since it uses less digits than its factorization.

8033953408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 8033953408 is about 89632.3234553250. The cubic root of 8033953408 is about 2002.8254571828.

The spelling of 8033953408 in words is "eight billion, thirty-three million, nine hundred fifty-three thousand, four hundred eight".