845094378240 has 432 divisors, whose sum is σ = 3354061541376. Its totient is φ = 192446668800.

The previous prime is 845094378223. The next prime is 845094378259. The reversal of 845094378240 is 42873490548.

845094378240 is a `hidden beast` number, since 8 + 4 + 509 + 43 + 78 + 24 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21834105 + ... + 21872775.

Almost surely, 2^845094378240 is an apocalyptic number.

845094378240 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 845094378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677030770688).

845094378240 is an abundant number, since it is smaller than the sum of its proper divisors (2508967163136).

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

845094378240 is a wasteful number, since it uses less digits than its factorization.

845094378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38976 (or 38959 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 845094378240 in words is "eight hundred forty-five billion, ninety-four million, three hundred seventy-eight thousand, two hundred forty".