6400219824 has 60 divisors (see below), whose sum is σ = 18489536832. Its totient is φ = 2064585600.

The previous prime is 6400219807. The next prime is 6400219831. The reversal of 6400219824 is 4289120046.

6400219824 is a `hidden beast` number, since 640 + 0 + 2 + 1 + 9 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712407 + ... + 721334.

Almost surely, 2^6400219824 is an apocalyptic number.

It is an amenable number.

6400219824 is an abundant number, since it is smaller than the sum of its proper divisors (12089317008).

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

6400219824 is a wasteful number, since it uses less digits than its factorization.

6400219824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433786 (or 1433777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6400219824 is about 80001.3738882027. The cubic root of 6400219824 is about 1856.6567901314.

The spelling of 6400219824 in words is "six billion, four hundred million, two hundred nineteen thousand, eight hundred twenty-four".