10754009664 has 112 divisors (see below), whose sum is σ = 29327612160. Its totient is φ = 3475745280.

The previous prime is 10754009659. The next prime is 10754009681. The reversal of 10754009664 is 46690045701.

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 15 ways as a sum of consecutive naturals, for example, 1142899 + ... + 1152269.

It is an arithmetic number, because the mean of its divisors is an integer number (261853680).

Almost surely, 2^10754009664 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 10754009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663806080).

10754009664 is an abundant number, since it is smaller than the sum of its proper divisors (18573602496).

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

10754009664 is a wasteful number, since it uses less digits than its factorization.

10754009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10754009664 in words is "ten billion, seven hundred fifty-four million, nine thousand, six hundred sixty-four".