506327947776 has 360 divisors, whose sum is σ = 1799882138340. Its totient is φ = 136154382336.

The previous prime is 506327947771. The next prime is 506327947789. The reversal of 506327947776 is 677749723605.

506327947776 is a `hidden beast` number, since 506 + 32 + 7 + 94 + 7 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 470288722176 + 36039225600 = 685776^2 + 189840^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (506327947771) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3772510 + ... + 3904418.

Almost surely, 2^506327947776 is an apocalyptic number.

506327947776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506327947776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899941069170).

506327947776 is an abundant number, since it is smaller than the sum of its proper divisors (1293554190564).

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

506327947776 is a wasteful number, since it uses less digits than its factorization.

506327947776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131964 (or 131938 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 63.

The spelling of 506327947776 in words is "five hundred six billion, three hundred twenty-seven million, nine hundred forty-seven thousand, seven hundred seventy-six".