34659794664 has 144 divisors (see below), whose sum is σ = 103866977760. Its totient is φ = 10433016000.

The previous prime is 34659794647. The next prime is 34659794669. The reversal of 34659794664 is 46649795643.

34659794664 is a `hidden beast` number, since 3 + 465 + 9 + 79 + 46 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (34659794669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1302339 + ... + 1328685.

Almost surely, 2^34659794664 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 34659794664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51933488880).

34659794664 is an abundant number, since it is smaller than the sum of its proper divisors (69207183096).

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

34659794664 is a wasteful number, since it uses less digits than its factorization.

34659794664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26532 (or 26514 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 34659794664 in words is "thirty-four billion, six hundred fifty-nine million, seven hundred ninety-four thousand, six hundred sixty-four".