505240625664 has 120 divisors (see below), whose sum is σ = 1463351581692. Its totient is φ = 167813775360.

The previous prime is 505240625657. The next prime is 505240625671. The reversal of 505240625664 is 466526042505.

505240625664 is a `hidden beast` number, since 5 + 0 + 5 + 24 + 0 + 62 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (505240625657) and next prime (505240625671).

It can be written as a sum of positive squares in 2 ways, for example, as 479151915264 + 26088710400 = 692208^2 + 161520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099752 + ... + 1489944.

Almost surely, 2^505240625664 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 505240625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731675790846).

505240625664 is an abundant number, since it is smaller than the sum of its proper divisors (958110956028).

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

505240625664 is a wasteful number, since it uses less digits than its factorization.

505240625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390498 (or 390479 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 505240625664 in words is "five hundred five billion, two hundred forty million, six hundred twenty-five thousand, six hundred sixty-four".