6398517945600 has 1944 divisors, whose sum is σ = 26709839592800. Its totient is φ = 1456164864000.

The previous prime is 6398517945577. The next prime is 6398517945629. The reversal of 6398517945600 is 65497158936.

6398517945600 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 5 + 17 + 9 + 4 + 5 + 600 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27941126286 + ... + 27941126514.

Almost surely, 2^{6398517945600} is an apocalyptic number.

6398517945600 is a gapful number since it is divisible by the number (60) 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 6398517945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354919796400).

6398517945600 is an abundant number, since it is smaller than the sum of its proper divisors (20311321647200).

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

6398517945600 is a wasteful number, since it uses less digits than its factorization.

6398517945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 6398517945600 in words is "six trillion, three hundred ninety-eight billion, five hundred seventeen million, nine hundred forty-five thousand, six hundred".