6431878400 has 54 divisors (see below), whose sum is σ = 15919919862. Its totient is φ = 2572748800.

The previous prime is 6431878337. The next prime is 6431878417. The reversal of 6431878400 is 48781346.

It can be written as a sum of positive squares in 3 ways, for example, as 85525504 + 6346352896 = 9248^2 + 79664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 496091 + ... + 508890.

Almost surely, 2^6431878400 is an apocalyptic number.

It is an amenable number.

6431878400 is an abundant number, since it is smaller than the sum of its proper divisors (9488041462).

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

6431878400 is a wasteful number, since it uses less digits than its factorization.

6431878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005007 (or 1004988 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 6431878400 is about 80198.9925123751. The cubic root of 6431878400 is about 1859.7130632257.

The spelling of 6431878400 in words is "six billion, four hundred thirty-one million, eight hundred seventy-eight thousand, four hundred".