34662480768 has 64 divisors (see below), whose sum is σ = 102302470800. Its totient is φ = 11554159104.

The previous prime is 34662480733. The next prime is 34662480773. The reversal of 34662480768 is 86708426643.

34662480768 is a `hidden beast` number, since 3 + 4 + 6 + 624 + 8 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5011371 + ... + 5018282.

Almost surely, 2^34662480768 is an apocalyptic number.

It is an amenable number.

34662480768 is an abundant number, since it is smaller than the sum of its proper divisors (67639990032).

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

34662480768 is a wasteful number, since it uses less digits than its factorization.

34662480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10029676 (or 10029658 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 34662480768 in words is "thirty-four billion, six hundred sixty-two million, four hundred eighty thousand, seven hundred sixty-eight".