6405260066436 has 192 divisors, whose sum is σ = 19812133232640. Its totient is φ = 1559286435840.

The previous prime is 6405260066393. The next prime is 6405260066449. The reversal of 6405260066436 is 6346600625046.

It is a super-2 number, since 2×6405260066436² (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 63 ways as a sum of consecutive naturals, for example, 2901136 + ... + 4607288.

It is an arithmetic number, because the mean of its divisors is an integer number (103188193920).

Almost surely, 2^{6405260066436} is an apocalyptic number.

6405260066436 is a gapful number since it is divisible by the number (66) 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 6405260066436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906066616320).

6405260066436 is an abundant number, since it is smaller than the sum of its proper divisors (13406873166204).

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

6405260066436 is a wasteful number, since it uses less digits than its factorization.

6405260066436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706434 (or 1706432 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 6405260066436 in words is "six trillion, four hundred five billion, two hundred sixty million, sixty-six thousand, four hundred thirty-six".