6487032240 has 240 divisors, whose sum is σ = 24482308032. Its totient is φ = 1527330816.

The previous prime is 6487032239. The next prime is 6487032247. The reversal of 6487032240 is 422307846.

6487032240 is a `hidden beast` number, since 648 + 7 + 0 + 3 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 6487032195 and 6487032204.

It is not an unprimeable number, because it can be changed into a prime (6487032247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200214 + ... + 230346.

Almost surely, 2^6487032240 is an apocalyptic number.

6487032240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6487032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12241154016).

6487032240 is an abundant number, since it is smaller than the sum of its proper divisors (17995275792).

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

6487032240 is a wasteful number, since it uses less digits than its factorization.

6487032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30188 (or 30179 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6487032240 is about 80542.1146978399. The cubic root of 6487032240 is about 1865.0136673116.

The spelling of 6487032240 in words is "six billion, four hundred eighty-seven million, thirty-two thousand, two hundred forty".