6425981642304 has 567 divisors, whose sum is σ = 21814946775531. Its totient is φ = 1803263454720.

The previous prime is 6425981642287. The next prime is 6425981642359. The reversal of 6425981642304 is 4032461895246.

The square root of 6425981642304 is 2534952.

It is a perfect power (a square), and thus also a powerful number.

6425981642304 is a `hidden beast` number, since 6 + 4 + 2 + 598 + 1 + 6 + 42 + 3 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33643882849 + ... + 33643883039.

Almost surely, 2^{6425981642304} is an apocalyptic number.

6425981642304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6425981642304 is the 2534952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425981642304

6425981642304 is an abundant number, since it is smaller than the sum of its proper divisors (15388965133227).

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

6425981642304 is an equidigital number, since it uses as much as digits as its factorization.

6425981642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 6425981642304 in words is "six trillion, four hundred twenty-five billion, nine hundred eighty-one million, six hundred forty-two thousand, three hundred four".