630969076224 has 240 divisors, whose sum is σ = 1870916831784. Its totient is φ = 204590284800.

The previous prime is 630969076223. The next prime is 630969076291. The reversal of 630969076224 is 422670969036.

630969076224 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 6 + 9 + 0 + 7 + 622 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 436170426624 + 194798649600 = 660432^2 + 441360^2 .

It is not an unprimeable number, because it can be changed into a prime (630969076223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66686854 + ... + 66696314.

Almost surely, 2^630969076224 is an apocalyptic number.

630969076224 is a gapful number since it is divisible by the number (64) 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 630969076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935458415892).

630969076224 is an abundant number, since it is smaller than the sum of its proper divisors (1239947755560).

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

630969076224 is a wasteful number, since it uses less digits than its factorization.

630969076224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 630969076224 in words is "six hundred thirty billion, nine hundred sixty-nine million, seventy-six thousand, two hundred twenty-four".