842723327248 has 80 divisors (see below), whose sum is σ = 1802096176320. Its totient is φ = 378582336000.

The previous prime is 842723327209. The next prime is 842723327267.

842723327248 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 842723327195 and 842723327204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7560723 + ... + 7671373.

It is an arithmetic number, because the mean of its divisors is an integer number (22526202204).

Almost surely, 2^842723327248 is an apocalyptic number.

842723327248 is a gapful number since it is divisible by the number (88) 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 842723327248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901048088160).

842723327248 is an abundant number, since it is smaller than the sum of its proper divisors (959372849072).

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

842723327248 is a wasteful number, since it uses less digits than its factorization.

842723327248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111176 (or 111170 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 52.

The spelling of 842723327248 in words is "eight hundred forty-two billion, seven hundred twenty-three million, three hundred twenty-seven thousand, two hundred forty-eight".