842727585727248 has 160 divisors (see below), whose sum is σ = 2368540471207680. Its totient is φ = 256644967987200.

The previous prime is 842727585727229. The next prime is 842727585727277.

842727585727248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×842727585727248² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180655618 + ... + 185261726.

It is an arithmetic number, because the mean of its divisors is an integer number (14803377945048).

Almost surely, 2^{842727585727248} 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 842727585727248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184270235603840).

842727585727248 is an abundant number, since it is smaller than the sum of its proper divisors (1525812885480432).

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

842727585727248 is a wasteful number, since it uses less digits than its factorization.

842727585727248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609137 (or 4609131 counting only the distinct ones).

The product of its digits is 7867596800, while the sum is 78.

The spelling of 842727585727248 in words is "eight hundred forty-two trillion, seven hundred twenty-seven billion, five hundred eighty-five million, seven hundred twenty-seven thousand, two hundred forty-eight".