842724000000 has 1323 divisors, whose sum is σ = 3348913402891. Its totient is φ = 211507200000.

The previous prime is 842723999981. The next prime is 842724000007. The reversal of 842724000000 is 427248.

The square root of 842724000000 is 918000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 828507730176 + 14216269824 = 910224^2 + 119232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842724000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 49571999992 + ... + 49572000008.

Almost surely, 2^842724000000 is an apocalyptic number.

842724000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

842724000000 is the 918000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842724000000

842724000000 is an abundant number, since it is smaller than the sum of its proper divisors (2506189402891).

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

842724000000 is an frugal number, since it uses more digits than its factorization.

842724000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 842724000000 its reverse (427248), we get a palindrome (842724427248).

The spelling of 842724000000 in words is "eight hundred forty-two billion, seven hundred twenty-four million", and thus it is an aban number.