630630967824 has 640 divisors, whose sum is σ = 2167326282240. Its totient is φ = 175217541120.

The previous prime is 630630967817. The next prime is 630630967843. The reversal of 630630967824 is 428769036036.

630630967824 is a `hidden beast` number, since 6 + 306 + 309 + 6 + 7 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 965743882 + ... + 965744534.

It is an arithmetic number, because the mean of its divisors is an integer number (3386447316).

Almost surely, 2^630630967824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630630967824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083663141120).

630630967824 is an abundant number, since it is smaller than the sum of its proper divisors (1536695314416).

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

630630967824 is a wasteful number, since it uses less digits than its factorization.

630630967824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 630630967824 in words is "six hundred thirty billion, six hundred thirty million, nine hundred sixty-seven thousand, eight hundred twenty-four".