4635008000 has 264 divisors, whose sum is σ = 13469423760. Its totient is φ = 1586995200.

The previous prime is 4635007919. The next prime is 4635008003. The reversal of 4635008000 is 8005364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635008003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6271631 + ... + 6272369.

Almost surely, 2^4635008000 is an apocalyptic number.

4635008000 is a gapful number since it is divisible by the number (40) 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 4635008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734711880).

4635008000 is an abundant number, since it is smaller than the sum of its proper divisors (8834415760).

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

4635008000 is an equidigital number, since it uses as much as digits as its factorization.

4635008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4635008000 is about 68080.8930611225. The cubic root of 4635008000 is about 1667.3118213442.

The spelling of 4635008000 in words is "four billion, six hundred thirty-five million, eight thousand".