630617483520 has 432 divisors, whose sum is σ = 2220418392192. Its totient is φ = 165220024320.

The previous prime is 630617483501. The next prime is 630617483533. The reversal of 630617483520 is 25384716036.

630617483520 is a `hidden beast` number, since 6 + 3 + 0 + 617 + 4 + 8 + 3 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155437332 + ... + 155441388.

Almost surely, 2^630617483520 is an apocalyptic number.

630617483520 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 630617483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110209196096).

630617483520 is an abundant number, since it is smaller than the sum of its proper divisors (1589800908672).

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

630617483520 is a wasteful number, since it uses less digits than its factorization.

630617483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4301 counting only the distinct ones).

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

The spelling of 630617483520 in words is "six hundred thirty billion, six hundred seventeen million, four hundred eighty-three thousand, five hundred twenty".