505000768896 has 384 divisors, whose sum is σ = 1591115984640. Its totient is φ = 152802754560.

The previous prime is 505000768849. The next prime is 505000768919. The reversal of 505000768896 is 698867000505.

505000768896 is a `hidden beast` number, since 50 + 500 + 0 + 7 + 6 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663601156 + ... + 663601916.

It is an arithmetic number, because the mean of its divisors is an integer number (4143531210).

Almost surely, 2^505000768896 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 505000768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795557992320).

505000768896 is an abundant number, since it is smaller than the sum of its proper divisors (1086115215744).

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

505000768896 is a wasteful number, since it uses less digits than its factorization.

505000768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 505000768896 in words is "five hundred five billion, seven hundred sixty-eight thousand, eight hundred ninety-six".