630643104 has 288 divisors, whose sum is σ = 2279975040. Its totient is φ = 166053888.

The previous prime is 630643093. The next prime is 630643129. The reversal of 630643104 is 401346036.

630643104 is a `hidden beast` number, since 6 + 3 + 0 + 643 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021804 + ... + 1022420.

It is an arithmetic number, because the mean of its divisors is an integer number (7916580).

Almost surely, 2^630643104 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 630643104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139987520).

630643104 is an abundant number, since it is smaller than the sum of its proper divisors (1649331936).

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

630643104 is a wasteful number, since it uses less digits than its factorization.

630643104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 630643104 is about 25112.6084666647. The cubic root of 630643104 is about 857.5534866778.

The spelling of 630643104 in words is "six hundred thirty million, six hundred forty-three thousand, one hundred four".