10664692704 has 144 divisors (see below), whose sum is σ = 32137822080. Its totient is φ = 3345235200.

The previous prime is 10664692691. The next prime is 10664692741. The reversal of 10664692704 is 40729646601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10664692704² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10664692704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819819 + ... + 832725.

It is an arithmetic number, because the mean of its divisors is an integer number (223179320).

Almost surely, 2^10664692704 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 10664692704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068911040).

10664692704 is an abundant number, since it is smaller than the sum of its proper divisors (21473129376).

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

10664692704 is a wasteful number, since it uses less digits than its factorization.

10664692704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13082 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10664692704 in words is "ten billion, six hundred sixty-four million, six hundred ninety-two thousand, seven hundred four".