846701936640 has 1080 divisors, whose sum is σ = 3566297367360. Its totient is φ = 184935776256.

The previous prime is 846701936629. The next prime is 846701936653. The reversal of 846701936640 is 46639107648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 830914051 + ... + 830915069.

It is an arithmetic number, because the mean of its divisors is an integer number (3302127192).

Almost surely, 2^846701936640 is an apocalyptic number.

846701936640 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 846701936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783148683680).

846701936640 is an abundant number, since it is smaller than the sum of its proper divisors (2719595430720).

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

846701936640 is a wasteful number, since it uses less digits than its factorization.

846701936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 846701936640 in words is "eight hundred forty-six billion, seven hundred one million, nine hundred thirty-six thousand, six hundred forty".