630629103042000 has 2240 divisors, whose sum is σ = 2452911151781376. Its totient is φ = 156357618278400.

The previous prime is 630629103041969. The next prime is 630629103042007. The reversal of 630629103042000 is 240301926036.

630629103042000 is a `hidden beast` number, since 6 + 3 + 0 + 62 + 91 + 0 + 304 + 200 + 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 not an unprimeable number, because it can be changed into a prime (630629103042007) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 335977145062 + ... + 335977146938.

Almost surely, 2^{630629103042000} is an apocalyptic number.

630629103042000 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 630629103042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226455575890688).

630629103042000 is an abundant number, since it is smaller than the sum of its proper divisors (1822282048739376).

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

630629103042000 is a wasteful number, since it uses less digits than its factorization.

630629103042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 630629103042000 its reverse (240301926036), we get a palindrome (630869404968036).

The spelling of 630629103042000 in words is "six hundred thirty trillion, six hundred twenty-nine billion, one hundred three million, forty-two thousand".