842479311310560 has 2304 divisors, whose sum is σ = 3964861075488768. Its totient is φ = 157526050406400.

The previous prime is 842479311310513. The next prime is 842479311310613. The reversal of 842479311310560 is 65013113974248.

842479311310560 is a `hidden beast` number, since 8 + 4 + 2 + 4 + 7 + 9 + 311 + 310 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 842479311310497 and 842479311310506.

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 383 ways as a sum of consecutive naturals, for example, 4849915227 + ... + 4850088933.

It is an arithmetic number, because the mean of its divisors is an integer number (1720859841792).

It is a 1-persistent number, because it is pandigital, but 2⋅842479311310560 = 1684958622621120 is not.

Almost surely, 2^{842479311310560} is an apocalyptic number.

842479311310560 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 842479311310560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982430537744384).

842479311310560 is an abundant number, since it is smaller than the sum of its proper divisors (3122381764178208).

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

842479311310560 is a wasteful number, since it uses less digits than its factorization.

842479311310560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173877 (or 173866 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 842479311310560 in words is "eight hundred forty-two trillion, four hundred seventy-nine billion, three hundred eleven million, three hundred ten thousand, five hundred sixty".