630643563000 has 768 divisors, whose sum is σ = 2431236487680. Its totient is φ = 151632000000.

The previous prime is 630643562957. The next prime is 630643563023. The reversal of 630643563000 is 365346036.

It is a happy number.

630643563000 is a `hidden beast` number, since 6 + 3 + 0 + 643 + 5 + 6 + 3 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×630643563000² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 350162100 + ... + 350163900.

It is an arithmetic number, because the mean of its divisors is an integer number (3165672510).

Almost surely, 2^630643563000 is an apocalyptic number.

630643563000 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 630643563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215618243840).

630643563000 is an abundant number, since it is smaller than the sum of its proper divisors (1800592924680).

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

630643563000 is a wasteful number, since it uses less digits than its factorization.

630643563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 630643563000 in words is "six hundred thirty billion, six hundred forty-three million, five hundred sixty-three thousand".