505779664320 has 896 divisors, whose sum is σ = 2233710950400. Its totient is φ = 105048244224.

The previous prime is 505779664277. The next prime is 505779664361. The reversal of 505779664320 is 23466977505.

505779664320 is a `hidden beast` number, since 5 + 0 + 577 + 9 + 6 + 6 + 43 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29808159 + ... + 29825121.

Almost surely, 2^505779664320 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 505779664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116855475200).

505779664320 is an abundant number, since it is smaller than the sum of its proper divisors (1727931286080).

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

505779664320 is a wasteful number, since it uses less digits than its factorization.

505779664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17042 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 505779664320 in words is "five hundred five billion, seven hundred seventy-nine million, six hundred sixty-four thousand, three hundred twenty".