5042731567680 has 336 divisors, whose sum is σ = 18034369726464. Its totient is φ = 1341209456640.

The previous prime is 5042731567669. The next prime is 5042731567681. The reversal of 5042731567680 is 867651372405.

5042731567680 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 73 + 1 + 567 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×5042731567680³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5042731567681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29697420 + ... + 29866740.

It is an arithmetic number, because the mean of its divisors is an integer number (53673719424).

Almost surely, 2^{5042731567680} 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 5042731567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017184863232).

5042731567680 is an abundant number, since it is smaller than the sum of its proper divisors (12991638158784).

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

5042731567680 is a wasteful number, since it uses less digits than its factorization.

5042731567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169736 (or 169714 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5042731567680 in words is "five trillion, forty-two billion, seven hundred thirty-one million, five hundred sixty-seven thousand, six hundred eighty".