4643560742912 has 896 divisors, whose sum is σ = 12841336166400. Its totient is φ = 1626064551936.

The previous prime is 4643560742911. The next prime is 4643560742939. The reversal of 4643560742912 is 2192470653464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×4643560742912² (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 (4643560742911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25941680039 + ... + 25941680217.

It is an arithmetic number, because the mean of its divisors is an integer number (14331848400).

Almost surely, 2^{4643560742912} 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 4643560742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420668083200).

4643560742912 is an abundant number, since it is smaller than the sum of its proper divisors (8197775423488).

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

4643560742912 is a wasteful number, since it uses less digits than its factorization.

4643560742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 53.

The spelling of 4643560742912 in words is "four trillion, six hundred forty-three billion, five hundred sixty million, seven hundred forty-two thousand, nine hundred twelve".