4633635440 has 80 divisors (see below), whose sum is σ = 12386207232. Its totient is φ = 1579130112.

The previous prime is 4633635421. The next prime is 4633635443. The reversal of 4633635440 is 445363364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4633635394 and 4633635403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633635443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68747 + ... + 118293.

Almost surely, 2^4633635440 is an apocalyptic number.

4633635440 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 4633635440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193103616).

4633635440 is an abundant number, since it is smaller than the sum of its proper divisors (7752571792).

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

4633635440 is a wasteful number, since it uses less digits than its factorization.

4633635440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49734 (or 49728 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

The square root of 4633635440 is about 68070.8119534357. The cubic root of 4633635440 is about 1667.1472253358.

The spelling of 4633635440 in words is "four billion, six hundred thirty-three million, six hundred thirty-five thousand, four hundred forty".