506477416896 has 420 divisors, whose sum is σ = 1657988534664. Its totient is φ = 152758932480.

The previous prime is 506477416849. The next prime is 506477416967. The reversal of 506477416896 is 698614774605.

It is a happy number.

506477416896 is a `hidden beast` number, since 5 + 0 + 64 + 77 + 416 + 8 + 96 = 666.

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 59 ways as a sum of consecutive naturals, for example, 142387150 + ... + 142390706.

Almost surely, 2^506477416896 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 506477416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828994267332).

506477416896 is an abundant number, since it is smaller than the sum of its proper divisors (1151511117768).

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

506477416896 is a wasteful number, since it uses less digits than its factorization.

506477416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 506477416896 in words is "five hundred six billion, four hundred seventy-seven million, four hundred sixteen thousand, eight hundred ninety-six".