630607317120 has 2304 divisors, whose sum is σ = 2730529751040. Its totient is φ = 138499891200.

The previous prime is 630607317113. The next prime is 630607317157. The reversal of 630607317120 is 21713706036.

630607317120 is a `hidden beast` number, since 6 + 3 + 0 + 607 + 31 + 7 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13417176937 + ... + 13417176983.

It is an arithmetic number, because the mean of its divisors is an integer number (1185125760).

Almost surely, 2^630607317120 is an apocalyptic number.

630607317120 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 630607317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365264875520).

630607317120 is an abundant number, since it is smaller than the sum of its proper divisors (2099922433920).

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

630607317120 is a wasteful number, since it uses less digits than its factorization.

630607317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 630607317120 in words is "six hundred thirty billion, six hundred seven million, three hundred seventeen thousand, one hundred twenty".