6708164408064 has 504 divisors, whose sum is σ = 23072987266560. Its totient is φ = 1905844598784.

The previous prime is 6708164408051. The next prime is 6708164408081. The reversal of 6708164408064 is 4608044618076.

6708164408064 is a `hidden beast` number, since 6 + 70 + 8 + 164 + 408 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6708164408064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 233825529 + ... + 233854215.

It is an arithmetic number, because the mean of its divisors is an integer number (45779736640).

Almost surely, 2^{6708164408064} is an apocalyptic number.

6708164408064 is a gapful number since it is divisible by the number (64) 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 6708164408064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536493633280).

6708164408064 is an abundant number, since it is smaller than the sum of its proper divisors (16364822858496).

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

6708164408064 is an equidigital number, since it uses as much as digits as its factorization.

6708164408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28907 (or 28878 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 6708164408064 in words is "six trillion, seven hundred eight billion, one hundred sixty-four million, four hundred eight thousand, sixty-four".