845568460800 has 2592 divisors, whose sum is σ = 3898105192800. Its totient is φ = 180592312320.

The previous prime is 845568460777. The next prime is 845568460801. The reversal of 845568460800 is 8064865548.

845568460800 is a `hidden beast` number, since 8 + 4 + 556 + 8 + 4 + 6 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×845568460800² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (845568460801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11583129564 + ... + 11583129636.

Almost surely, 2^845568460800 is an apocalyptic number.

845568460800 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 845568460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949052596400).

845568460800 is an abundant number, since it is smaller than the sum of its proper divisors (3052536732000).

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

845568460800 is a wasteful number, since it uses less digits than its factorization.

845568460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 845568460800 in words is "eight hundred forty-five billion, five hundred sixty-eight million, four hundred sixty thousand, eight hundred".