5642017579008 has 336 divisors, whose sum is σ = 17271744984000. Its totient is φ = 1769666641920.

The previous prime is 5642017579001. The next prime is 5642017579031. The reversal of 5642017579008 is 8009757102465.

5642017579008 is a `hidden beast` number, since 5 + 64 + 2 + 0 + 1 + 7 + 579 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5642017579001) 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, 208710453 + ... + 208737483.

Almost surely, 2^{5642017579008} 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 5642017579008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635872492000).

5642017579008 is an abundant number, since it is smaller than the sum of its proper divisors (11629727404992).

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

5642017579008 is a wasteful number, since it uses less digits than its factorization.

5642017579008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27231 (or 27204 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5642017579008 in words is "five trillion, six hundred forty-two billion, seventeen million, five hundred seventy-nine thousand, eight".