505836429696 has 384 divisors, whose sum is σ = 1652582131200. Its totient is φ = 147225931776.

The previous prime is 505836429647. The next prime is 505836429701. The reversal of 505836429696 is 696924638505.

505836429696 is a `hidden beast` number, since 5 + 0 + 583 + 6 + 42 + 9 + 6 + 9 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319542121 + ... + 319543703.

It is an arithmetic number, because the mean of its divisors is an integer number (4303599300).

Almost surely, 2^505836429696 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 505836429696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826291065600).

505836429696 is an abundant number, since it is smaller than the sum of its proper divisors (1146745701504).

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

505836429696 is a wasteful number, since it uses less digits than its factorization.

505836429696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 505836429696 in words is "five hundred five billion, eight hundred thirty-six million, four hundred twenty-nine thousand, six hundred ninety-six".