842534036568 has 192 divisors, whose sum is σ = 2672412724800. Its totient is φ = 234768015360.

The previous prime is 842534036557. The next prime is 842534036569. The reversal of 842534036568 is 865630435248.

842534036568 is a `hidden beast` number, since 8 + 4 + 2 + 5 + 3 + 40 + 36 + 568 = 666.

It is a super-2 number, since 2×842534036568² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842534036569) 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, 76637280 + ... + 76648272.

It is an arithmetic number, because the mean of its divisors is an integer number (13918816275).

Almost surely, 2^842534036568 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 842534036568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336206362400).

842534036568 is an abundant number, since it is smaller than the sum of its proper divisors (1829878688232).

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

842534036568 is a wasteful number, since it uses less digits than its factorization.

842534036568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14755 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 842534036568 in words is "eight hundred forty-two billion, five hundred thirty-four million, thirty-six thousand, five hundred sixty-eight".