10717964672 has 64 divisors (see below), whose sum is σ = 22306959360. Its totient is φ = 5119910400.

The previous prime is 10717964639. The next prime is 10717964683. The reversal of 10717964672 is 27646971701.

10717964672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10717964672² (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 10717964672.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3386963 + ... + 3390125.

It is an arithmetic number, because the mean of its divisors is an integer number (348546240).

Almost surely, 2^10717964672 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 10717964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11153479680).

10717964672 is an abundant number, since it is smaller than the sum of its proper divisors (11588994688).

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

10717964672 is a wasteful number, since it uses less digits than its factorization.

10717964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 50.

The spelling of 10717964672 in words is "ten billion, seven hundred seventeen million, nine hundred sixty-four thousand, six hundred seventy-two".