4716835368564 has 72 divisors (see below), whose sum is σ = 12110145909120. Its totient is φ = 1427843795840.

The previous prime is 4716835368433. The next prime is 4716835368569. The reversal of 4716835368564 is 4658635386174.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 4716835368495 and 4716835368504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716835368569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320604 + ... + 3088115.

It is an arithmetic number, because the mean of its divisors is an integer number (168196470960).

Almost surely, 2^{4716835368564} is an apocalyptic number.

4716835368564 is a gapful number since it is divisible by the number (44) 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 4716835368564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055072954560).

4716835368564 is an abundant number, since it is smaller than the sum of its proper divisors (7393310540556).

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

4716835368564 is a wasteful number, since it uses less digits than its factorization.

4716835368564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409701 (or 3409688 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 66.

The spelling of 4716835368564 in words is "four trillion, seven hundred sixteen billion, eight hundred thirty-five million, three hundred sixty-eight thousand, five hundred sixty-four".