845415795600 has 360 divisors, whose sum is σ = 2950023061440. Its totient is φ = 224203668480.

The previous prime is 845415795563. The next prime is 845415795647. The reversal of 845415795600 is 6597514548.

It is a happy number.

845415795600 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 1 + 5 + 79 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 829651891 + ... + 829652909.

It is an arithmetic number, because the mean of its divisors is an integer number (8194508504).

Almost surely, 2^845415795600 is an apocalyptic number.

845415795600 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 845415795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475011530720).

845415795600 is an abundant number, since it is smaller than the sum of its proper divisors (2104607265840).

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

845415795600 is a wasteful number, since it uses less digits than its factorization.

845415795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 845415795600 in words is "eight hundred forty-five billion, four hundred fifteen million, seven hundred ninety-five thousand, six hundred".