6738689160 has 256 divisors, whose sum is σ = 27181785600. Its totient is φ = 1449639936.

The previous prime is 6738689123. The next prime is 6738689161. The reversal of 6738689160 is 619868376.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6738689097 and 6738689106.

It is not an unprimeable number, because it can be changed into a prime (6738689161) 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 63 ways as a sum of consecutive naturals, for example, 102304 + ... + 154736.

It is an arithmetic number, because the mean of its divisors is an integer number (106178850).

Almost surely, 2^6738689160 is an apocalyptic number.

6738689160 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 6738689160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590892800).

6738689160 is an abundant number, since it is smaller than the sum of its proper divisors (20443096440).

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

6738689160 is a wasteful number, since it uses less digits than its factorization.

6738689160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52477 (or 52467 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6738689160 is about 82089.5191848509. The cubic root of 6738689160 is about 1888.8253724176.

The spelling of 6738689160 in words is "six billion, seven hundred thirty-eight million, six hundred eighty-nine thousand, one hundred sixty".