6405293916 has 144 divisors (see below), whose sum is σ = 19984154400. Its totient is φ = 1766935296.

The previous prime is 6405293911. The next prime is 6405293953. The reversal of 6405293916 is 6193925046.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405293911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132600 + ... + 174336.

It is an arithmetic number, because the mean of its divisors is an integer number (138778850).

Almost surely, 2^6405293916 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 6405293916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992077200).

6405293916 is an abundant number, since it is smaller than the sum of its proper divisors (13578860484).

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

6405293916 is a wasteful number, since it uses less digits than its factorization.

6405293916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41793 (or 41778 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6405293916 is about 80033.0801356539. The cubic root of 6405293916 is about 1857.1473128064.

The spelling of 6405293916 in words is "six billion, four hundred five million, two hundred ninety-three thousand, nine hundred sixteen".