6405263694960 has 320 divisors, whose sum is σ = 22890709900800. Its totient is φ = 1468379418624.

The previous prime is 6405263694953. The next prime is 6405263694989. The reversal of 6405263694960 is 694963625046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6405263694894 and 6405263694903.

It is a congruent number.

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, 2581834 + ... + 4413206.

It is an arithmetic number, because the mean of its divisors is an integer number (71533468440).

Almost surely, 2^{6405263694960} is an apocalyptic number.

6405263694960 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 6405263694960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445354950400).

6405263694960 is an abundant number, since it is smaller than the sum of its proper divisors (16485446205840).

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

6405263694960 is a wasteful number, since it uses less digits than its factorization.

6405263694960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831480 (or 1831474 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 60.

The spelling of 6405263694960 in words is "six trillion, four hundred five billion, two hundred sixty-three million, six hundred ninety-four thousand, nine hundred sixty".