630133680 has 160 divisors (see below), whose sum is σ = 2188931328. Its totient is φ = 148608000.

The previous prime is 630133661. The next prime is 630133697. The reversal of 630133680 is 86331036.

630133680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94455 + ... + 100905.

Almost surely, 2^630133680 is an apocalyptic number.

630133680 is a gapful number since it is divisible by the number (60) 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 630133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094465664).

630133680 is an abundant number, since it is smaller than the sum of its proper divisors (1558797648).

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

630133680 is a wasteful number, since it uses less digits than its factorization.

630133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 630133680 is about 25102.4636241147. The cubic root of 630133680 is about 857.3225182126.

The spelling of 630133680 in words is "six hundred thirty million, one hundred thirty-three thousand, six hundred eighty".