4753306643904 has 504 divisors, whose sum is σ = 17404717105152. Its totient is φ = 1213174609920.

The previous prime is 4753306643903. The next prime is 4753306643947. The reversal of 4753306643904 is 4093466033574.

It is a happy number.

4753306643904 is a `hidden beast` number, since 4 + 7 + 533 + 0 + 66 + 43 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4753306643904² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4753306643903) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21011137 + ... + 21236159.

Almost surely, 2^{4753306643904} 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 4753306643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702358552576).

4753306643904 is an abundant number, since it is smaller than the sum of its proper divisors (12651410461248).

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

4753306643904 is a wasteful number, since it uses less digits than its factorization.

4753306643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225105 (or 225079 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 4753306643904 in words is "four trillion, seven hundred fifty-three billion, three hundred six million, six hundred forty-three thousand, nine hundred four".