6426134195712 has 1920 divisors, whose sum is σ = 24075259084800. Its totient is φ = 1483755356160.

The previous prime is 6426134195699. The next prime is 6426134195713. The reversal of 6426134195712 is 2175914316246.

It is a super-2 number, since 2×6426134195712² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6426134195713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50599481793 + ... + 50599481919.

It is an arithmetic number, because the mean of its divisors is an integer number (12539197440).

Almost surely, 2^{6426134195712} 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 6426134195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037629542400).

6426134195712 is an abundant number, since it is smaller than the sum of its proper divisors (17649124889088).

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

6426134195712 is a wasteful number, since it uses less digits than its factorization.

6426134195712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 6426134195712 in words is "six trillion, four hundred twenty-six billion, one hundred thirty-four million, one hundred ninety-five thousand, seven hundred twelve".