532467613440 has 1440 divisors, whose sum is σ = 2333472261120. Its totient is φ = 113164812288.

The previous prime is 532467613429. The next prime is 532467613477. The reversal of 532467613440 is 44316764235.

532467613440 is a `hidden beast` number, since 5 + 3 + 24 + 6 + 7 + 613 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1270805551 + ... + 1270805969.

It is an arithmetic number, because the mean of its divisors is an integer number (1620466848).

Almost surely, 2^532467613440 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 532467613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166736130560).

532467613440 is an abundant number, since it is smaller than the sum of its proper divisors (1801004647680).

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

532467613440 is a wasteful number, since it uses less digits than its factorization.

532467613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 532467613440 in words is "five hundred thirty-two billion, four hundred sixty-seven million, six hundred thirteen thousand, four hundred forty".