630768424608 has 576 divisors, whose sum is σ = 2174008636800. Its totient is φ = 177387356160.

The previous prime is 630768424607. The next prime is 630768424619. The reversal of 630768424608 is 806424867036.

630768424608 is a `hidden beast` number, since 6 + 3 + 0 + 7 + 6 + 8 + 4 + 24 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (630768424607) 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, 1104672963 + ... + 1104673533.

It is an arithmetic number, because the mean of its divisors is an integer number (3774320550).

Almost surely, 2^630768424608 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 630768424608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087004318400).

630768424608 is an abundant number, since it is smaller than the sum of its proper divisors (1543240212192).

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

630768424608 is a wasteful number, since it uses less digits than its factorization.

630768424608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 630768424608 in words is "six hundred thirty billion, seven hundred sixty-eight million, four hundred twenty-four thousand, six hundred eight".