12610766464 has 128 divisors (see below), whose sum is σ = 27646304400. Its totient is φ = 5703204864.

The previous prime is 12610766437. The next prime is 12610766473. The reversal of 12610766464 is 46466701621.

It can be written as a sum of positive squares in 8 ways, for example, as 7535628864 + 5075137600 = 86808^2 + 71240^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12610766464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21265752 + ... + 21266344.

Almost surely, 2^12610766464 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 12610766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823152200).

12610766464 is an abundant number, since it is smaller than the sum of its proper divisors (15035537936).

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

12610766464 is a wasteful number, since it uses less digits than its factorization.

12610766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 12610766464 in words is "twelve billion, six hundred ten million, seven hundred sixty-six thousand, four hundred sixty-four".