4633364000 has 48 divisors (see below), whose sum is σ = 11384185176. Its totient is φ = 1853344000.

The previous prime is 4633363967. The next prime is 4633364009. The reversal of 4633364000 is 4633364.

It can be written as a sum of positive squares in 4 ways, for example, as 433805584 + 4199558416 = 20828^2 + 64804^2 .

It is not an unprimeable number, because it can be changed into a prime (4633364009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575171 + ... + 583170.

Almost surely, 2^4633364000 is an apocalyptic number.

4633364000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4633364000 is an abundant number, since it is smaller than the sum of its proper divisors (6750821176).

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

4633364000 is a wasteful number, since it uses less digits than its factorization.

4633364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158366 (or 1158348 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 4633364000 is about 68068.8181181369. The cubic root of 4633364000 is about 1667.1146706758.

Adding to 4633364000 its reverse (4633364), we get a palindrome (4637997364).

4633364000 divided by its reverse (4633364) gives a cube (1000 = 10³).

The spelling of 4633364000 in words is "four billion, six hundred thirty-three million, three hundred sixty-four thousand".