527312830464 has 1260 divisors, whose sum is σ = 1984257194724. Its totient is φ = 139122966528.

The previous prime is 527312830433. The next prime is 527312830507. The reversal of 527312830464 is 464038213725.

527312830464 is a `hidden beast` number, since 5 + 27 + 312 + 8 + 304 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 395630936064 + 131681894400 = 628992^2 + 362880^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9949298662 + ... + 9949298714.

Almost surely, 2^527312830464 is an apocalyptic number.

527312830464 is a gapful number since it is divisible by the number (54) 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 527312830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992128597362).

527312830464 is an abundant number, since it is smaller than the sum of its proper divisors (1456944364260).

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

527312830464 is an frugal number, since it uses more digits than its factorization.

527312830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 527312830464 in words is "five hundred twenty-seven billion, three hundred twelve million, eight hundred thirty thousand, four hundred sixty-four".