3168806300064 has 288 divisors, whose sum is σ = 9585677687040. Its totient is φ = 989530054656.

The previous prime is 3168806300059. The next prime is 3168806300071. The reversal of 3168806300064 is 4600036088613.

3168806300064 is a `hidden beast` number, since 3 + 1 + 6 + 8 + 8 + 0 + 630 + 0 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3168806299992 and 3168806300019.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189937197 + ... + 1189939859.

It is an arithmetic number, because the mean of its divisors is an integer number (33283603080).

Almost surely, 2^{3168806300064} is an apocalyptic number.

3168806300064 is a gapful number since it is divisible by the number (34) 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 3168806300064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792838843520).

3168806300064 is an abundant number, since it is smaller than the sum of its proper divisors (6416871386976).

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

3168806300064 is a wasteful number, since it uses less digits than its factorization.

3168806300064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3168806300064 in words is "three trillion, one hundred sixty-eight billion, eight hundred six million, three hundred thousand, sixty-four".