545405280768 has 560 divisors, whose sum is σ = 1704160122456. Its totient is φ = 174142586880.

The previous prime is 545405280737. The next prime is 545405280773. The reversal of 545405280768 is 867082504545.

545405280768 is a `hidden beast` number, since 5 + 4 + 5 + 40 + 528 + 0 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 527354820864 + 18050459904 = 726192^2 + 134352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1008142578 + ... + 1008143118.

Almost surely, 2^545405280768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545405280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852080061228).

545405280768 is an abundant number, since it is smaller than the sum of its proper divisors (1158754841688).

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

545405280768 is an frugal number, since it uses more digits than its factorization.

545405280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 545405280768 in words is "five hundred forty-five billion, four hundred five million, two hundred eighty thousand, seven hundred sixty-eight".