6440712408 has 160 divisors (see below), whose sum is σ = 19472191200. Its totient is φ = 1977219072.

The previous prime is 6440712407. The next prime is 6440712419. The reversal of 6440712408 is 8042170446.

6440712408 is a `hidden beast` number, since 6 + 4 + 407 + 1 + 240 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440712407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6932488 + ... + 6933416.

It is an arithmetic number, because the mean of its divisors is an integer number (121701195).

Almost surely, 2^6440712408 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 6440712408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736095600).

6440712408 is an abundant number, since it is smaller than the sum of its proper divisors (13031478792).

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

6440712408 is a wasteful number, since it uses less digits than its factorization.

6440712408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 6440712408 is about 80254.0491688737. The cubic root of 6440712408 is about 1860.5640952947.

The spelling of 6440712408 in words is "six billion, four hundred forty million, seven hundred twelve thousand, four hundred eight".