846967008240 has 480 divisors, whose sum is σ = 3190556416320. Its totient is φ = 200092778496.

The previous prime is 846967008203. The next prime is 846967008287. The reversal of 846967008240 is 42800769648.

846967008240 is a `hidden beast` number, since 8 + 469 + 67 + 0 + 0 + 82 + 40 = 666.

It is a super-2 number, since 2×846967008240² (a number of 25 digits) contains 22 as substring.

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, 36500322 + ... + 36523518.

It is an arithmetic number, because the mean of its divisors is an integer number (6646992534).

Almost surely, 2^846967008240 is an apocalyptic number.

846967008240 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 846967008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595278208160).

846967008240 is an abundant number, since it is smaller than the sum of its proper divisors (2343589408080).

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

846967008240 is a wasteful number, since it uses less digits than its factorization.

846967008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23409 (or 23400 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 846967008240 in words is "eight hundred forty-six billion, nine hundred sixty-seven million, eight thousand, two hundred forty".