842665842720 has 576 divisors, whose sum is σ = 3202137888768. Its totient is φ = 200601446400.

The previous prime is 842665842661. The next prime is 842665842727. The reversal of 842665842720 is 27248566248.

It is not an unprimeable number, because it can be changed into a prime (842665842727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557686765 + ... + 557688275.

It is an arithmetic number, because the mean of its divisors is an integer number (5559267168).

Almost surely, 2^842665842720 is an apocalyptic number.

842665842720 is a gapful number since it is divisible by the number (80) 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 842665842720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601068944384).

842665842720 is an abundant number, since it is smaller than the sum of its proper divisors (2359472046048).

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

842665842720 is a wasteful number, since it uses less digits than its factorization.

842665842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 842665842720 in words is "eight hundred forty-two billion, six hundred sixty-five million, eight hundred forty-two thousand, seven hundred twenty".