527663566464 has 256 divisors, whose sum is σ = 1527280435200. Its totient is φ = 160840028160.

The previous prime is 527663566399. The next prime is 527663566481. The reversal of 527663566464 is 464665366725.

It is a junction number, because it is equal to n+sod(n) for n = 527663566398 and 527663566407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34276209 + ... + 34291599.

It is an arithmetic number, because the mean of its divisors is an integer number (5965939200).

Almost surely, 2^527663566464 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 527663566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763640217600).

527663566464 is an abundant number, since it is smaller than the sum of its proper divisors (999616868736).

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

527663566464 is a wasteful number, since it uses less digits than its factorization.

527663566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15591 (or 15579 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 60.

The spelling of 527663566464 in words is "five hundred twenty-seven billion, six hundred sixty-three million, five hundred sixty-six thousand, four hundred sixty-four".