6468957396625 has 16 divisors (see below), whose sum is σ = 8073540530640. Its totient is φ = 5174985340800.

The previous prime is 6468957396623. The next prime is 6468957396667. The reversal of 6468957396625 is 5266937598646.

It can be written as a sum of positive squares in 8 ways, for example, as 5257005209856 + 1211952186769 = 2292816^2 + 1100887^2 .

It is not a de Polignac number, because 6468957396625 - 2¹ = 6468957396623 is a prime.

It is a super-3 number, since 3×6468957396625³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6468957396623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2752807 + ... + 4529443.

It is an arithmetic number, because the mean of its divisors is an integer number (504596283165).

Almost surely, 2^{6468957396625} is an apocalyptic number.

It is an amenable number.

6468957396625 is a deficient number, since it is larger than the sum of its proper divisors (1604583134015).

6468957396625 is a wasteful number, since it uses less digits than its factorization.

6468957396625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805781 (or 1805771 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 76.

The spelling of 6468957396625 in words is "six trillion, four hundred sixty-eight billion, nine hundred fifty-seven million, three hundred ninety-six thousand, six hundred twenty-five".