630531145728 has 360 divisors, whose sum is σ = 1996549931376. Its totient is φ = 190159257600.

The previous prime is 630531145711. The next prime is 630531145757. The reversal of 630531145728 is 827541135036.

It is a happy number.

630531145728 is a `hidden beast` number, since 6 + 3 + 0 + 531 + 1 + 45 + 72 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390905050 + ... + 390906662.

Almost surely, 2^630531145728 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 630531145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998274965688).

630531145728 is an abundant number, since it is smaller than the sum of its proper divisors (1366018785648).

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

630531145728 is a wasteful number, since it uses less digits than its factorization.

630531145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 630531145728 in words is "six hundred thirty billion, five hundred thirty-one million, one hundred forty-five thousand, seven hundred twenty-eight".