530846784000 has 800 divisors, whose sum is σ = 2129754843216. Its totient is φ = 130653388800.

The previous prime is 530846783977. The next prime is 530846784007. The reversal of 530846784000 is 487648035.

530846784000 is a `hidden beast` number, since 530 + 8 + 4 + 6 + 78 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22557636864 + 508289147136 = 150192^2 + 712944^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530846784007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 67388062 + ... + 67395938.

Almost surely, 2^530846784000 is an apocalyptic number.

530846784000 is a gapful number since it is divisible by the number (50) 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 530846784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064877421608).

530846784000 is an abundant number, since it is smaller than the sum of its proper divisors (1598908059216).

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

530846784000 is an equidigital number, since it uses as much as digits as its factorization.

530846784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 530846784000 in words is "five hundred thirty billion, eight hundred forty-six million, seven hundred eighty-four thousand".