630387104256 has 960 divisors, whose sum is σ = 2475707794560. Its totient is φ = 156439019520.

The previous prime is 630387104233. The next prime is 630387104279. The reversal of 630387104256 is 652401783036.

630387104256 is a `hidden beast` number, since 6 + 3 + 0 + 387 + 10 + 4 + 256 = 666.

630387104256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630387104233) and next prime (630387104279).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149697991 + ... + 149702201.

It is an arithmetic number, because the mean of its divisors is an integer number (2578862286).

Almost surely, 2^630387104256 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 630387104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237853897280).

630387104256 is an abundant number, since it is smaller than the sum of its proper divisors (1845320690304).

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

630387104256 is a wasteful number, since it uses less digits than its factorization.

630387104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 630387104256 in words is "six hundred thirty billion, three hundred eighty-seven million, one hundred four thousand, two hundred fifty-six".