6395125464072 has 192 divisors, whose sum is σ = 17538970176000. Its totient is φ = 2104970895360.

The previous prime is 6395125464061. The next prime is 6395125464089. The reversal of 6395125464072 is 2704645215936.

It is a happy number.

6395125464072 is a `hidden beast` number, since 6 + 3 + 9 + 51 + 2 + 546 + 40 + 7 + 2 = 666.

It is a super-2 number, since 2×6395125464072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322964648 + ... + 2322967400.

It is an arithmetic number, because the mean of its divisors is an integer number (91348803000).

Almost surely, 2^{6395125464072} 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 6395125464072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769485088000).

6395125464072 is an abundant number, since it is smaller than the sum of its proper divisors (11143844711928).

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

6395125464072 is a wasteful number, since it uses less digits than its factorization.

6395125464072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4101 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6395125464072 in words is "six trillion, three hundred ninety-five billion, one hundred twenty-five million, four hundred sixty-four thousand, seventy-two".