630013468224 has 448 divisors, whose sum is σ = 1992543436800. Its totient is φ = 171908352000.

The previous prime is 630013468213. The next prime is 630013468261. The reversal of 630013468224 is 422864310036.

630013468224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1503611887 + ... + 1503612305.

It is an arithmetic number, because the mean of its divisors is an integer number (4447641600).

Almost surely, 2^630013468224 is an apocalyptic number.

630013468224 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 630013468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996271718400).

630013468224 is an abundant number, since it is smaller than the sum of its proper divisors (1362529968576).

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

630013468224 is a wasteful number, since it uses less digits than its factorization.

630013468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 630013468224 in words is "six hundred thirty billion, thirteen million, four hundred sixty-eight thousand, two hundred twenty-four".