6438475440 has 60 divisors (see below), whose sum is σ = 21622549104. Its totient is φ = 1716926592.

The previous prime is 6438475411. The next prime is 6438475481. The reversal of 6438475440 is 445748346.

6438475440 is a `hidden beast` number, since 64 + 3 + 8 + 47 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4470444 + ... + 4471883.

Almost surely, 2^6438475440 is an apocalyptic number.

6438475440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6438475440 is an abundant number, since it is smaller than the sum of its proper divisors (15184073664).

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

6438475440 is a wasteful number, since it uses less digits than its factorization.

6438475440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942346 (or 8942337 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 6438475440 is about 80240.1111664235. Note that the first 4 decimals coincide. The cubic root of 6438475440 is about 1860.3486685935.

The spelling of 6438475440 in words is "six billion, four hundred thirty-eight million, four hundred seventy-five thousand, four hundred forty".