630734203427328 has 3840 divisors, whose sum is σ = 2621528211456000. Its totient is φ = 145546415308800.

The previous prime is 630734203427299. The next prime is 630734203427351. The reversal of 630734203427328 is 823724302437036.

630734203427328 is a `hidden beast` number, since 6 + 3 + 0 + 7 + 3 + 4 + 203 + 427 + 3 + 2 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1646825596225 + ... + 1646825596607.

It is an arithmetic number, because the mean of its divisors is an integer number (682689638400).

Almost surely, 2^{630734203427328} 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 630734203427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310764105728000).

630734203427328 is an abundant number, since it is smaller than the sum of its proper divisors (1990794008028672).

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

630734203427328 is a wasteful number, since it uses less digits than its factorization.

630734203427328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 54.

The spelling of 630734203427328 in words is "six hundred thirty trillion, seven hundred thirty-four billion, two hundred three million, four hundred twenty-seven thousand, three hundred twenty-eight".