506641262400 has 3780 divisors, whose sum is σ = 2607060785868. Its totient is φ = 95312609280.

The previous prime is 506641262371. The next prime is 506641262431. The reversal of 506641262400 is 4262146605.

506641262400 is a `hidden beast` number, since 5 + 0 + 6 + 641 + 2 + 6 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17973156096 + 488668106304 = 134064^2 + 699048^2 .

It is a tau number, because it is divible by the number of its divisors (3780).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 539 ways as a sum of consecutive naturals, for example, 26665329591 + ... + 26665329609.

Almost surely, 2^506641262400 is an apocalyptic number.

506641262400 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 506641262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303530392934).

506641262400 is an abundant number, since it is smaller than the sum of its proper divisors (2100419523468).

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

506641262400 is a wasteful number, since it uses less digits than its factorization.

506641262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 506641262400 in words is "five hundred six billion, six hundred forty-one million, two hundred sixty-two thousand, four hundred".