6408339840 has 512 divisors, whose sum is σ = 26790912000. Its totient is φ = 1416683520.

The previous prime is 6408339827. The next prime is 6408339841. The reversal of 6408339840 is 489338046.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6408339841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3748906 + ... + 3750614.

It is an arithmetic number, because the mean of its divisors is an integer number (52326000).

Almost surely, 2^6408339840 is an apocalyptic number.

6408339840 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 6408339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395456000).

6408339840 is an abundant number, since it is smaller than the sum of its proper divisors (20382572160).

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

6408339840 is a wasteful number, since it uses less digits than its factorization.

6408339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6408339840 is about 80052.1070303587. The cubic root of 6408339840 is about 1857.4416439868.

The spelling of 6408339840 in words is "six billion, four hundred eight million, three hundred thirty-nine thousand, eight hundred forty".