630134217504 has 1152 divisors, whose sum is σ = 2231764254720. Its totient is φ = 172832486400.

The previous prime is 630134217497. The next prime is 630134217529. The reversal of 630134217504 is 405712431036.

630134217504 is a `hidden beast` number, since 6 + 3 + 0 + 134 + 2 + 17 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4961686689 + ... + 4961686815.

It is an arithmetic number, because the mean of its divisors is an integer number (1937295360).

Almost surely, 2^630134217504 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 630134217504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115882127360).

630134217504 is an abundant number, since it is smaller than the sum of its proper divisors (1601630037216).

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

630134217504 is a wasteful number, since it uses less digits than its factorization.

630134217504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 630134217504 in words is "six hundred thirty billion, one hundred thirty-four million, two hundred seventeen thousand, five hundred four".