845188783920 has 480 divisors, whose sum is σ = 3159226796544. Its totient is φ = 201089433600.

The previous prime is 845188783919. The next prime is 845188783973. The reversal of 845188783920 is 29387881548.

845188783920 is a `hidden beast` number, since 8 + 4 + 518 + 87 + 8 + 39 + 2 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 370533180 + ... + 370535460.

Almost surely, 2^845188783920 is an apocalyptic number.

845188783920 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 845188783920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579613398272).

845188783920 is an abundant number, since it is smaller than the sum of its proper divisors (2314038012624).

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

845188783920 is a wasteful number, since it uses less digits than its factorization.

845188783920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 845188783920 in words is "eight hundred forty-five billion, one hundred eighty-eight million, seven hundred eighty-three thousand, nine hundred twenty".