10834427664 has 30 divisors (see below), whose sum is σ = 30321350046. Its totient is φ = 3611475840.

The previous prime is 10834427663. The next prime is 10834427687. The reversal of 10834427664 is 46672443801.

10834427664 is a `hidden beast` number, since 1 + 0 + 83 + 442 + 76 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6464160000 + 4370267664 = 80400^2 + 66108^2 .

It is not an unprimeable number, because it can be changed into a prime (10834427663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37619397 + ... + 37619684.

Almost surely, 2^10834427664 is an apocalyptic number.

It is an amenable number.

10834427664 is an abundant number, since it is smaller than the sum of its proper divisors (19486922382).

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

10834427664 is a wasteful number, since it uses less digits than its factorization.

10834427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75239095 (or 75239086 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10834427664 in words is "ten billion, eight hundred thirty-four million, four hundred twenty-seven thousand, six hundred sixty-four".