6405751296 has 320 divisors, whose sum is σ = 22096800000. Its totient is φ = 1794244608.

The previous prime is 6405751291. The next prime is 6405751327. The reversal of 6405751296 is 6921575046.

6405751296 is a `hidden beast` number, since 6 + 40 + 5 + 7 + 512 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (6405751291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5128080 + ... + 5129328.

It is an arithmetic number, because the mean of its divisors is an integer number (69052500).

Almost surely, 2^6405751296 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 6405751296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048400000).

6405751296 is an abundant number, since it is smaller than the sum of its proper divisors (15691048704).

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

6405751296 is a wasteful number, since it uses less digits than its factorization.

6405751296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 6405751296 is about 80035.9375280880. The cubic root of 6405751296 is about 1857.1915159209.

The spelling of 6405751296 in words is "six billion, four hundred five million, seven hundred fifty-one thousand, two hundred ninety-six".