6738439680 has 640 divisors, whose sum is σ = 28833868800. Its totient is φ = 1457160192.

The previous prime is 6738439649. The next prime is 6738439691. The reversal of 6738439680 is 869348376.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192594 + ... + 9193326.

It is an arithmetic number, because the mean of its divisors is an integer number (45052920).

Almost surely, 2^6738439680 is an apocalyptic number.

6738439680 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 6738439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416934400).

6738439680 is an abundant number, since it is smaller than the sum of its proper divisors (22095429120).

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

6738439680 is a wasteful number, since it uses less digits than its factorization.

6738439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6738439680 is about 82087.9996101744. Note that the first 3 decimals coincide. The cubic root of 6738439680 is about 1888.8020627423.

The spelling of 6738439680 in words is "six billion, seven hundred thirty-eight million, four hundred thirty-nine thousand, six hundred eighty".