842726080350 has 576 divisors, whose sum is σ = 2996108236800. Its totient is φ = 170370604800.

The previous prime is 842726080283. The next prime is 842726080367. The reversal of 842726080350 is 53080627248.

842726080350 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 2 + 608 + 0 + 35 + 0 = 666.

It is a super-2 number, since 2×842726080350² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 842726080296 and 842726080305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42297691 + ... + 42317609.

It is an arithmetic number, because the mean of its divisors is an integer number (5201576800).

Almost surely, 2^842726080350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842726080350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498054118400).

842726080350 is an abundant number, since it is smaller than the sum of its proper divisors (2153382156450).

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

842726080350 is a wasteful number, since it uses less digits than its factorization.

842726080350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20006 (or 19984 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 842726080350 in words is "eight hundred forty-two billion, seven hundred twenty-six million, eighty thousand, three hundred fifty".