630725792256 has 720 divisors, whose sum is σ = 2209628637216. Its totient is φ = 179087376384.

The previous prime is 630725792209. The next prime is 630725792261. The reversal of 630725792256 is 652297527036.

630725792256 is a `hidden beast` number, since 63 + 0 + 7 + 2 + 579 + 2 + 2 + 5 + 6 = 666.

It is a super-4 number, since 4×630725792256⁴ (a number of 48 digits) contains 4444 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 1871589720 + ... + 1871590056.

Almost surely, 2^630725792256 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 630725792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104814318608).

630725792256 is an abundant number, since it is smaller than the sum of its proper divisors (1578902844960).

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

630725792256 is an equidigital number, since it uses as much as digits as its factorization.

630725792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 630725792256 in words is "six hundred thirty billion, seven hundred twenty-five million, seven hundred ninety-two thousand, two hundred fifty-six".