630399036960 has 2304 divisors, whose sum is σ = 2929190584320. Its totient is φ = 124261724160.

The previous prime is 630399036929. The next prime is 630399036961. The reversal of 630399036960 is 69630993036.

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

It is a junction number, because it is equal to n+sod(n) for n = 630399036897 and 630399036906.

It is not an unprimeable number, because it can be changed into a prime (630399036961) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 7595169079 + ... + 7595169161.

It is an arithmetic number, because the mean of its divisors is an integer number (1271350080).

Almost surely, 2^630399036960 is an apocalyptic number.

630399036960 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 630399036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464595292160).

630399036960 is an abundant number, since it is smaller than the sum of its proper divisors (2298791547360).

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

630399036960 is a wasteful number, since it uses less digits than its factorization.

630399036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The spelling of 630399036960 in words is "six hundred thirty billion, three hundred ninety-nine million, thirty-six thousand, nine hundred sixty".