4525680386304 has 1728 divisors, whose sum is σ = 18328363941888. Its totient is φ = 1037441433600.

The previous prime is 4525680386261. The next prime is 4525680386417. The reversal of 4525680386304 is 4036830865254.

4525680386304 is a `hidden beast` number, since 4 + 5 + 256 + 8 + 0 + 3 + 86 + 304 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3676425369 + ... + 3676426599.

It is an arithmetic number, because the mean of its divisors is an integer number (10606692096).

Almost surely, 2^{4525680386304} is an apocalyptic number.

4525680386304 is a gapful number since it is divisible by the number (44) 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 4525680386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164181970944).

4525680386304 is an abundant number, since it is smaller than the sum of its proper divisors (13802683555584).

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

4525680386304 is a wasteful number, since it uses less digits than its factorization.

4525680386304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 4525680386304 in words is "four trillion, five hundred twenty-five billion, six hundred eighty million, three hundred eighty-six thousand, three hundred four".