630142584960 has 1024 divisors, whose sum is σ = 2568543436800. Its totient is φ = 128074383360.

The previous prime is 630142584887. The next prime is 630142585001. The reversal of 630142584960 is 69485241036.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 304562806 + ... + 304564874.

It is an arithmetic number, because the mean of its divisors is an integer number (2508343200).

Almost surely, 2^630142584960 is an apocalyptic number.

630142584960 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 630142584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284271718400).

630142584960 is an abundant number, since it is smaller than the sum of its proper divisors (1938400851840).

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

630142584960 is a wasteful number, since it uses less digits than its factorization.

630142584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 630142584960 in words is "six hundred thirty billion, one hundred forty-two million, five hundred eighty-four thousand, nine hundred sixty".