6408642240 has 1680 divisors, whose sum is σ = 32396094720. Its totient is φ = 1164533760.

The previous prime is 6408642217. The next prime is 6408642241. The reversal of 6408642240 is 422468046.

It is a happy number.

6408642240 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 = 6408642195 and 6408642204.

It is not an unprimeable number, because it can be changed into a prime (6408642241) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 337296951 + ... + 337296969.

Almost surely, 2^6408642240 is an apocalyptic number.

6408642240 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 6408642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198047360).

6408642240 is an abundant number, since it is smaller than the sum of its proper divisors (25987452480).

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

6408642240 is a wasteful number, since it uses less digits than its factorization.

6408642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6408642240 is about 80053.9957778498. The cubic root of 6408642240 is about 1857.4708601609.

The spelling of 6408642240 in words is "six billion, four hundred eight million, six hundred forty-two thousand, two hundred forty".