630352017000 has 512 divisors, whose sum is σ = 2259137088000. Its totient is φ = 162468633600.

The previous prime is 630352016977. The next prime is 630352017017. The reversal of 630352017000 is 710253036.

It is a happy number.

630352017000 is a `hidden beast` number, since 630 + 3 + 5 + 20 + 1 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 156840991 + ... + 156845009.

It is an arithmetic number, because the mean of its divisors is an integer number (4412377125).

Almost surely, 2^630352017000 is an apocalyptic number.

630352017000 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 630352017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129568544000).

630352017000 is an abundant number, since it is smaller than the sum of its proper divisors (1628785071000).

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

630352017000 is a wasteful number, since it uses less digits than its factorization.

630352017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 630352017000 in words is "six hundred thirty billion, three hundred fifty-two million, seventeen thousand".