630648441634632 has 256 divisors, whose sum is σ = 1675443850444800. Its totient is φ = 197260844832000.

The previous prime is 630648441634621. The next prime is 630648441634637. The reversal of 630648441634632 is 236436144846036.

630648441634632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (630648441634637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45010944507 + ... + 45010958517.

It is an arithmetic number, because the mean of its divisors is an integer number (6544702540800).

Almost surely, 2^{630648441634632} 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 630648441634632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837721925222400).

630648441634632 is an abundant number, since it is smaller than the sum of its proper divisors (1044795408810168).

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

630648441634632 is a wasteful number, since it uses less digits than its factorization.

630648441634632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16408 (or 16404 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 60.

The spelling of 630648441634632 in words is "six hundred thirty trillion, six hundred forty-eight billion, four hundred forty-one million, six hundred thirty-four thousand, six hundred thirty-two".