532007429760 has 640 divisors, whose sum is σ = 2016110131200. Its totient is φ = 133312241664.

The previous prime is 532007429719. The next prime is 532007429809. The reversal of 532007429760 is 67924700235.

532007429760 is a `hidden beast` number, since 532 + 0 + 0 + 7 + 42 + 9 + 76 + 0 = 666.

532007429760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125087794 + ... + 125092046.

It is an arithmetic number, because the mean of its divisors is an integer number (3150172080).

Almost surely, 2^532007429760 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 532007429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008055065600).

532007429760 is an abundant number, since it is smaller than the sum of its proper divisors (1484102701440).

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

532007429760 is a wasteful number, since it uses less digits than its factorization.

532007429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 532007429760 in words is "five hundred thirty-two billion, seven million, four hundred twenty-nine thousand, seven hundred sixty".