845435307840 has 224 divisors, whose sum is σ = 2721407141376. Its totient is φ = 222350469120.

The previous prime is 845435307811. The next prime is 845435307841. The reversal of 845435307840 is 48703534548.

It is a happy number.

845435307840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845435307841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20478259 + ... + 20519501.

It is an arithmetic number, because the mean of its divisors is an integer number (12149139024).

Almost surely, 2^845435307840 is an apocalyptic number.

845435307840 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 845435307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360703570688).

845435307840 is an abundant number, since it is smaller than the sum of its proper divisors (1875971833536).

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

845435307840 is a wasteful number, since it uses less digits than its factorization.

845435307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41557 (or 41547 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 845435307840 in words is "eight hundred forty-five billion, four hundred thirty-five million, three hundred seven thousand, eight hundred forty".