846394375680 has 800 divisors, whose sum is σ = 3473687669760. Its totient is φ = 192954286080.

The previous prime is 846394375663. The next prime is 846394375681. The reversal of 846394375680 is 86573493648.

846394375680 is a `hidden beast` number, since 8 + 4 + 6 + 39 + 4 + 37 + 568 + 0 = 666.

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 (846394375681) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1043642475 + ... + 1043643285.

Almost surely, 2^846394375680 is an apocalyptic number.

846394375680 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 846394375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736843834880).

846394375680 is an abundant number, since it is smaller than the sum of its proper divisors (2627293294080).

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

846394375680 is an equidigital number, since it uses as much as digits as its factorization.

846394375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 846394375680 in words is "eight hundred forty-six billion, three hundred ninety-four million, three hundred seventy-five thousand, six hundred eighty".