845403972480 has 1280 divisors, whose sum is σ = 3482961768000. Its totient is φ = 193969520640.

The previous prime is 845403972449. The next prime is 845403972521. The reversal of 845403972480 is 84279304548.

845403972480 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 0 + 397 + 248 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 485584410 + ... + 485586150.

Almost surely, 2^845403972480 is an apocalyptic number.

845403972480 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 845403972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741480884000).

845403972480 is an abundant number, since it is smaller than the sum of its proper divisors (2637557795520).

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

845403972480 is a wasteful number, since it uses less digits than its factorization.

845403972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1816 counting only the distinct ones).

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

The spelling of 845403972480 in words is "eight hundred forty-five billion, four hundred three million, nine hundred seventy-two thousand, four hundred eighty".