630134427000 has 1536 divisors, whose sum is σ = 2473372661760. Its totient is φ = 131991552000.

The previous prime is 630134426963. The next prime is 630134427007. The reversal of 630134427000 is 724431036.

630134427000 is digitally balanced in base 2 and base 4, because in such bases 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630134427007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14654288979 + ... + 14654289021.

It is an arithmetic number, because the mean of its divisors is an integer number (1610268660).

Almost surely, 2^630134427000 is an apocalyptic number.

630134427000 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 630134427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236686330880).

630134427000 is an abundant number, since it is smaller than the sum of its proper divisors (1843238234760).

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

630134427000 is a wasteful number, since it uses less digits than its factorization.

630134427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 630134427000 its reverse (724431036), we get a palindrome (630858858036).

The spelling of 630134427000 in words is "six hundred thirty billion, one hundred thirty-four million, four hundred twenty-seven thousand".