506648467200 has 864 divisors, whose sum is σ = 1845869356800. Its totient is φ = 121881231360.

The previous prime is 506648467189. The next prime is 506648467201. The reversal of 506648467200 is 2764846605.

It is a super-2 number, since 2×506648467200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 506648467200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506648467201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878073312 + ... + 878073888.

Almost surely, 2^506648467200 is an apocalyptic number.

506648467200 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 506648467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922934678400).

506648467200 is an abundant number, since it is smaller than the sum of its proper divisors (1339220889600).

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

506648467200 is a wasteful number, since it uses less digits than its factorization.

506648467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 506648467200 in words is "five hundred six billion, six hundred forty-eight million, four hundred sixty-seven thousand, two hundred".