6442505784 has 288 divisors, whose sum is σ = 20828620800. Its totient is φ = 1783192320.

The previous prime is 6442505743. The next prime is 6442505809. The reversal of 6442505784 is 4875052446.

6442505784 is a `hidden beast` number, since 64 + 4 + 2 + 505 + 7 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16998507 + ... + 16998885.

It is an arithmetic number, because the mean of its divisors is an integer number (72321600).

Almost surely, 2^6442505784 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 6442505784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414310400).

6442505784 is an abundant number, since it is smaller than the sum of its proper divisors (14386115016).

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

6442505784 is a wasteful number, since it uses less digits than its factorization.

6442505784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 6442505784 is about 80265.2215096925. The cubic root of 6442505784 is about 1860.7367667394.

The spelling of 6442505784 in words is "six billion, four hundred forty-two million, five hundred five thousand, seven hundred eighty-four".