846930716640 has 768 divisors, whose sum is σ = 3189993891840. Its totient is φ = 209114726400.

The previous prime is 846930716609. The next prime is 846930716677. The reversal of 846930716640 is 46617039648.

846930716640 is a `hidden beast` number, since 84 + 69 + 307 + 166 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1683758629 + ... + 1683759131.

It is an arithmetic number, because the mean of its divisors is an integer number (4153637880).

Almost surely, 2^846930716640 is an apocalyptic number.

846930716640 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 846930716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594996945920).

846930716640 is an abundant number, since it is smaller than the sum of its proper divisors (2343063175200).

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

846930716640 is a wasteful number, since it uses less digits than its factorization.

846930716640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

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

The spelling of 846930716640 in words is "eight hundred forty-six billion, nine hundred thirty million, seven hundred sixteen thousand, six hundred forty".