845307723960 has 768 divisors, whose sum is σ = 3371000976000. Its totient is φ = 187753144320.

The previous prime is 845307723913. The next prime is 845307723973. The reversal of 845307723960 is 69327703548.

845307723960 is a `hidden beast` number, since 8 + 4 + 530 + 7 + 72 + 39 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 845307723897 and 845307723906.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 687800626 + ... + 687801854.

Almost surely, 2^845307723960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845307723960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685500488000).

845307723960 is an abundant number, since it is smaller than the sum of its proper divisors (2525693252040).

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

845307723960 is a wasteful number, since it uses less digits than its factorization.

845307723960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 845307723960 in words is "eight hundred forty-five billion, three hundred seven million, seven hundred twenty-three thousand, nine hundred sixty".