6738164078688 has 1920 divisors, whose sum is σ = 25799481227520. Its totient is φ = 1681069178880.

The previous prime is 6738164078683. The next prime is 6738164078693. The reversal of 6738164078688 is 8868704618376.

6738164078688 is a `hidden beast` number, since 67 + 3 + 8 + 1 + 6 + 407 + 86 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (6738164078683) and next prime (6738164078693).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6738164078683) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28919159020 + ... + 28919159252.

It is an arithmetic number, because the mean of its divisors is an integer number (13437229806).

Almost surely, 2^{6738164078688} is an apocalyptic number.

6738164078688 is a gapful number since it is divisible by the number (68) 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 6738164078688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899740613760).

6738164078688 is an abundant number, since it is smaller than the sum of its proper divisors (19061317148832).

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

6738164078688 is a wasteful number, since it uses less digits than its factorization.

6738164078688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 6738164078688 in words is "six trillion, seven hundred thirty-eight billion, one hundred sixty-four million, seventy-eight thousand, six hundred eighty-eight".