530713452672 has 288 divisors, whose sum is σ = 1673670463920. Its totient is φ = 161324107776.

The previous prime is 530713452667. The next prime is 530713452727. The reversal of 530713452672 is 276254317035.

530713452672 is a `hidden beast` number, since 53 + 0 + 7 + 1 + 3 + 4 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 16142683 + ... + 16175525.

Almost surely, 2^530713452672 is an apocalyptic number.

530713452672 is a gapful number since it is divisible by the number (52) 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 530713452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836835231960).

530713452672 is an abundant number, since it is smaller than the sum of its proper divisors (1142957011248).

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

530713452672 is a wasteful number, since it uses less digits than its factorization.

530713452672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32972 (or 32944 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 530713452672 in words is "five hundred thirty billion, seven hundred thirteen million, four hundred fifty-two thousand, six hundred seventy-two".