6461568126 has 160 divisors (see below), whose sum is σ = 16233940800. Its totient is φ = 1907297280.

The previous prime is 6461568119. The next prime is 6461568133. The reversal of 6461568126 is 6218651646.

6461568126 is a `hidden beast` number, since 6 + 4 + 61 + 568 + 1 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (6461568119) and next prime (6461568133).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14718615 + ... + 14719053.

It is an arithmetic number, because the mean of its divisors is an integer number (101462130).

Almost surely, 2^6461568126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461568126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116970400).

6461568126 is an abundant number, since it is smaller than the sum of its proper divisors (9772372674).

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

6461568126 is a wasteful number, since it uses less digits than its factorization.

6461568126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 727 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 6461568126 is about 80383.8797645399. The cubic root of 6461568126 is about 1862.5701669645.

The spelling of 6461568126 in words is "six billion, four hundred sixty-one million, five hundred sixty-eight thousand, one hundred twenty-six".