845804574720 has 768 divisors, whose sum is σ = 3470903654400. Its totient is φ = 191368396800.

The previous prime is 845804574697. The next prime is 845804574721. The reversal of 845804574720 is 27475408548.

845804574720 is a `hidden beast` number, since 8 + 4 + 580 + 4 + 57 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845804574721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195469197 + ... + 195473523.

It is an arithmetic number, because the mean of its divisors is an integer number (4519405800).

Almost surely, 2^845804574720 is an apocalyptic number.

845804574720 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 845804574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735451827200).

845804574720 is an abundant number, since it is smaller than the sum of its proper divisors (2625099079680).

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

845804574720 is a wasteful number, since it uses less digits than its factorization.

845804574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 845804574720 in words is "eight hundred forty-five billion, eight hundred four million, five hundred seventy-four thousand, seven hundred twenty".