846066705120 has 576 divisors, whose sum is σ = 3581530767360. Its totient is φ = 177101697024.

The previous prime is 846066705119. The next prime is 846066705131. The reversal of 846066705120 is 21507660648.

846066705120 is a `hidden beast` number, since 8 + 4 + 6 + 0 + 66 + 70 + 512 + 0 = 666.

It is a super-2 number, since 2×846066705120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16616661 + ... + 16667499.

It is an arithmetic number, because the mean of its divisors is an integer number (6217935360).

Almost surely, 2^846066705120 is an apocalyptic number.

846066705120 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 846066705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790765383680).

846066705120 is an abundant number, since it is smaller than the sum of its proper divisors (2735464062240).

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

846066705120 is a wasteful number, since it uses less digits than its factorization.

846066705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51007 (or 50996 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 846066705120 in words is "eight hundred forty-six billion, sixty-six million, seven hundred five thousand, one hundred twenty".