630050563296 has 576 divisors, whose sum is σ = 2417321926656. Its totient is φ = 156530880000.

The previous prime is 630050563243. The next prime is 630050563309. The reversal of 630050563296 is 692365050036.

630050563296 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 5 + 0 + 5 + 632 + 9 + 6 = 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 95 ways as a sum of consecutive naturals, for example, 13748421 + ... + 13794171.

It is an arithmetic number, because the mean of its divisors is an integer number (4196739456).

Almost surely, 2^630050563296 is an apocalyptic number.

630050563296 is a gapful number since it is divisible by the number (66) 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 630050563296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208660963328).

630050563296 is an abundant number, since it is smaller than the sum of its proper divisors (1787271363360).

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

630050563296 is a wasteful number, since it uses less digits than its factorization.

630050563296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45817 (or 45797 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 630050563296 in words is "six hundred thirty billion, fifty million, five hundred sixty-three thousand, two hundred ninety-six".