630227984360832 has 1536 divisors, whose sum is σ = 2287543642675200. Its totient is φ = 163679619317760.

The previous prime is 630227984360773. The next prime is 630227984360861. The reversal of 630227984360832 is 238063489722036.

630227984360832 is a `hidden beast` number, since 6 + 30 + 2 + 2 + 7 + 98 + 436 + 0 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 630227984360832.

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 191 ways as a sum of consecutive naturals, for example, 227765804313 + ... + 227765807079.

It is an arithmetic number, because the mean of its divisors is an integer number (1489286225700).

Almost surely, 2^{630227984360832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630227984360832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143771821337600).

630227984360832 is an abundant number, since it is smaller than the sum of its proper divisors (1657315658314368).

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

630227984360832 is a wasteful number, since it uses less digits than its factorization.

630227984360832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 630227984360832 in words is "six hundred thirty trillion, two hundred twenty-seven billion, nine hundred eighty-four million, three hundred sixty thousand, eight hundred thirty-two".