842109287760 has 480 divisors, whose sum is σ = 3243828631680. Its totient is φ = 201683810304.

The previous prime is 842109287707. The next prime is 842109287801. The reversal of 842109287760 is 67782901248.

It is a happy number.

842109287760 is a `hidden beast` number, since 8 + 421 + 0 + 92 + 8 + 77 + 60 = 666.

842109287760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 842109287697 and 842109287706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9305611 + ... + 9395669.

It is an arithmetic number, because the mean of its divisors is an integer number (6757976316).

Almost surely, 2^842109287760 is an apocalyptic number.

842109287760 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 842109287760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621914315840).

842109287760 is an abundant number, since it is smaller than the sum of its proper divisors (2401719343920).

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

842109287760 is a wasteful number, since it uses less digits than its factorization.

842109287760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90137 (or 90119 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 842109287760 in words is "eight hundred forty-two billion, one hundred nine million, two hundred eighty-seven thousand, seven hundred sixty".