34809666662064 has 480 divisors, whose sum is σ = 109111851823104. Its totient is φ = 9366169812480.

The previous prime is 34809666662063. The next prime is 34809666662167. The reversal of 34809666662064 is 46026666690843.

It is a junction number, because it is equal to n+sod(n) for n = 34809666661986 and 34809666662004.

It is not an unprimeable number, because it can be changed into a prime (34809666662063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16711312767 + ... + 16711314849.

Almost surely, 2^{34809666662064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34809666662064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54555925911552).

34809666662064 is an abundant number, since it is smaller than the sum of its proper divisors (74302185161040).

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

34809666662064 is a wasteful number, since it uses less digits than its factorization.

34809666662064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 66.

The spelling of 34809666662064 in words is "thirty-four trillion, eight hundred nine billion, six hundred sixty-six million, six hundred sixty-two thousand, sixty-four".