845832680000 has 560 divisors, whose sum is σ = 2671021799424. Its totient is φ = 257982720000.

The previous prime is 845832679961. The next prime is 845832680003. The reversal of 845832680000 is 86238548.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (845832680003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144757079 + ... + 144762921.

Almost surely, 2^845832680000 is an apocalyptic number.

845832680000 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 845832680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335510899712).

845832680000 is an abundant number, since it is smaller than the sum of its proper divisors (1825189119424).

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

845832680000 is a wasteful number, since it uses less digits than its factorization.

845832680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 845832680000 in words is "eight hundred forty-five billion, eight hundred thirty-two million, six hundred eighty thousand".