842317279760 has 320 divisors, whose sum is σ = 2347952935680. Its totient is φ = 277405040640.

The previous prime is 842317279757. The next prime is 842317279787. The reversal of 842317279760 is 67972713248.

It is a happy number.

It is a super-2 number, since 2×842317279760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 842317279696 and 842317279705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135788819 + ... + 135795021.

It is an arithmetic number, because the mean of its divisors is an integer number (7337352924).

Almost surely, 2^842317279760 is an apocalyptic number.

842317279760 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 842317279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173976467840).

842317279760 is an abundant number, since it is smaller than the sum of its proper divisors (1505635655920).

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

842317279760 is a wasteful number, since it uses less digits than its factorization.

842317279760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 56.

The spelling of 842317279760 in words is "eight hundred forty-two billion, three hundred seventeen million, two hundred seventy-nine thousand, seven hundred sixty".