4716229000560 has 960 divisors, whose sum is σ = 18948152240640. Its totient is φ = 959350210560.

The previous prime is 4716229000547. The next prime is 4716229000577. The reversal of 4716229000560 is 650009226174.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1312614124 + ... + 1312617716.

It is an arithmetic number, because the mean of its divisors is an integer number (19737658584).

Almost surely, 2^{4716229000560} is an apocalyptic number.

4716229000560 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 4716229000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9474076120320).

4716229000560 is an abundant number, since it is smaller than the sum of its proper divisors (14231923240080).

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

4716229000560 is a wasteful number, since it uses less digits than its factorization.

4716229000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 4716229000560 in words is "four trillion, seven hundred sixteen billion, two hundred twenty-nine million, five hundred sixty", and thus it is an aban number.