4680025967448 has 384 divisors, whose sum is σ = 14926593427200. Its totient is φ = 1311542673408.

The previous prime is 4680025967423. The next prime is 4680025967453. The reversal of 4680025967448 is 8447695200864.

4680025967448 is a `hidden beast` number, since 4 + 6 + 80 + 0 + 2 + 59 + 67 + 448 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 66524740 + ... + 66595052.

It is an arithmetic number, because the mean of its divisors is an integer number (38871337050).

Almost surely, 2^{4680025967448} 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 4680025967448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463296713600).

4680025967448 is an abundant number, since it is smaller than the sum of its proper divisors (10246567459752).

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

4680025967448 is a wasteful number, since it uses less digits than its factorization.

4680025967448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70491 (or 70484 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4680025967448 in words is "four trillion, six hundred eighty billion, twenty-five million, nine hundred sixty-seven thousand, four hundred forty-eight".