4635904000 has 384 divisors, whose sum is σ = 14309568000. Its totient is φ = 1459814400.

The previous prime is 4635903983. The next prime is 4635904043. The reversal of 4635904000 is 4095364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23295901 + ... + 23296099.

It is an arithmetic number, because the mean of its divisors is an integer number (37264500).

Almost surely, 2^4635904000 is an apocalyptic number.

4635904000 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 4635904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154784000).

4635904000 is an abundant number, since it is smaller than the sum of its proper divisors (9673664000).

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

4635904000 is a wasteful number, since it uses less digits than its factorization.

4635904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 4635904000 is about 68087.4731503527. The cubic root of 4635904000 is about 1667.4192512298.

Adding to 4635904000 its reverse (4095364), we get a palindrome (4639999364).

The spelling of 4635904000 in words is "four billion, six hundred thirty-five million, nine hundred four thousand".