846367441671960 has 1152 divisors, whose sum is σ = 3308416757568000. Its totient is φ = 186668386983936.

The previous prime is 846367441671943. The next prime is 846367441671971. The reversal of 846367441671960 is 69176144763648.

It is a happy number.

846367441671960 is a `hidden beast` number, since 8 + 4 + 6 + 3 + 67 + 441 + 67 + 1 + 9 + 60 = 666.

It is a super-2 number, since 2×846367441671960² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2366071279 + ... + 2366428961.

It is an arithmetic number, because the mean of its divisors is an integer number (2871889546500).

Almost surely, 2^{846367441671960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846367441671960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654208378784000).

846367441671960 is an abundant number, since it is smaller than the sum of its proper divisors (2462049315896040).

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

846367441671960 is a wasteful number, since it uses less digits than its factorization.

846367441671960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357857 (or 357837 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 846367441671960 in words is "eight hundred forty-six trillion, three hundred sixty-seven billion, four hundred forty-one million, six hundred seventy-one thousand, nine hundred sixty".