4517976964842 has 144 divisors (see below), whose sum is σ = 10897363942920. Its totient is φ = 1351669186560.

The previous prime is 4517976964819. The next prime is 4517976964847. The reversal of 4517976964842 is 2484696797154.

4517976964842 is a `hidden beast` number, since 4 + 5 + 1 + 79 + 76 + 9 + 6 + 484 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2599450022961 + 1918526941881 = 1612281^2 + 1385109^2 .

It is not an unprimeable number, because it can be changed into a prime (4517976964847) 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, 63215584 + ... + 63287012.

Almost surely, 2^{4517976964842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4517976964842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448681971460).

4517976964842 is an abundant number, since it is smaller than the sum of its proper divisors (6379386978078).

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

4517976964842 is a wasteful number, since it uses less digits than its factorization.

4517976964842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71829 (or 71815 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 4517976964842 in words is "four trillion, five hundred seventeen billion, nine hundred seventy-six million, nine hundred sixty-four thousand, eight hundred forty-two".