6738396480 has 560 divisors, whose sum is σ = 25492008960. Its totient is φ = 1686085632.

The previous prime is 6738396449. The next prime is 6738396481. The reversal of 6738396480 is 846938376.

6738396480 is a `hidden beast` number, since 6 + 73 + 8 + 3 + 96 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738396481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53058177 + ... + 53058303.

Almost surely, 2^6738396480 is an apocalyptic number.

6738396480 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 6738396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746004480).

6738396480 is an abundant number, since it is smaller than the sum of its proper divisors (18753612480).

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

6738396480 is a wasteful number, since it uses less digits than its factorization.

6738396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

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

The square root of 6738396480 is about 82087.7364775031. The cubic root of 6738396480 is about 1888.7980263764.

The spelling of 6738396480 in words is "six billion, seven hundred thirty-eight million, three hundred ninety-six thousand, four hundred eighty".