6406858400 has 36 divisors (see below), whose sum is σ = 15640745022. Its totient is φ = 2562743040.

The previous prime is 6406858369. The next prime is 6406858429. The reversal of 6406858400 is 48586046.

It can be written as a sum of positive squares in 3 ways, for example, as 2679511696 + 3727346704 = 51764^2 + 61052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4003487 + ... + 4005086.

Almost surely, 2^6406858400 is an apocalyptic number.

It is an amenable number.

6406858400 is an abundant number, since it is smaller than the sum of its proper divisors (9233886622).

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

6406858400 is a wasteful number, since it uses less digits than its factorization.

6406858400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008593 (or 8008580 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 6406858400 is about 80042.8535223476. The cubic root of 6406858400 is about 1857.2985023680.

The spelling of 6406858400 in words is "six billion, four hundred six million, eight hundred fifty-eight thousand, four hundred".