846866845440 has 2880 divisors, whose sum is σ = 4027590217728. Its totient is φ = 164826316800.

The previous prime is 846866845411. The next prime is 846866845441. The reversal of 846866845440 is 44548668648.

846866845440 is a `hidden beast` number, since 8 + 4 + 6 + 8 + 6 + 6 + 84 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846866845441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13883063010 + ... + 13883063070.

Almost surely, 2^846866845440 is an apocalyptic number.

846866845440 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 846866845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013795108864).

846866845440 is an abundant number, since it is smaller than the sum of its proper divisors (3180723372288).

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

846866845440 is a wasteful number, since it uses less digits than its factorization.

846866845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 846866845440 in words is "eight hundred forty-six billion, eight hundred sixty-six million, eight hundred forty-five thousand, four hundred forty".