530667648000 has 2112 divisors, whose sum is σ = 2391158016000. Its totient is φ = 112715366400.

The previous prime is 530667647989. The next prime is 530667648031. The reversal of 530667648000 is 846766035.

530667648000 is a `hidden beast` number, since 530 + 6 + 6 + 76 + 48 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6717311961 + ... + 6717312039.

Almost surely, 2^530667648000 is an apocalyptic number.

530667648000 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 530667648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195579008000).

530667648000 is an abundant number, since it is smaller than the sum of its proper divisors (1860490368000).

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

530667648000 is a wasteful number, since it uses less digits than its factorization.

530667648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 530667648000 in words is "five hundred thirty billion, six hundred sixty-seven million, six hundred forty-eight thousand".