507534543360 has 960 divisors, whose sum is σ = 1986357364992. Its totient is φ = 123452522496.

The previous prime is 507534543293. The next prime is 507534543367. The reversal of 507534543360 is 63345435705.

It is a happy number.

507534543360 is a `hidden beast` number, since 5 + 0 + 7 + 534 + 54 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (507534543367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 784442557 + ... + 784443203.

Almost surely, 2^507534543360 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 507534543360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993178682496).

507534543360 is an abundant number, since it is smaller than the sum of its proper divisors (1478822821632).

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

507534543360 is an equidigital number, since it uses as much as digits as its factorization.

507534543360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 507534543360 in words is "five hundred seven billion, five hundred thirty-four million, five hundred forty-three thousand, three hundred sixty".