506947084800 has 960 divisors, whose sum is σ = 1912887567360. Its totient is φ = 117401518080.

The previous prime is 506947084793. The next prime is 506947084807. The reversal of 506947084800 is 8480749605.

It is an interprime number because it is at equal distance from previous prime (506947084793) and next prime (506947084807).

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (506947084807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 769266871 + ... + 769267529.

It is an arithmetic number, because the mean of its divisors is an integer number (1992591216).

Almost surely, 2^506947084800 is an apocalyptic number.

506947084800 is a gapful number since it is divisible by the number (50) 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 506947084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956443783680).

506947084800 is an abundant number, since it is smaller than the sum of its proper divisors (1405940482560).

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

506947084800 is a wasteful number, since it uses less digits than its factorization.

506947084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 506947084800 in words is "five hundred six billion, nine hundred forty-seven million, eighty-four thousand, eight hundred".