10709544672 has 216 divisors, whose sum is σ = 32553533376. Its totient is φ = 3338993664.

The previous prime is 10709544667. The next prime is 10709544679. The reversal of 10709544672 is 27644590701.

It is a super-2 number, since 2×10709544672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10709544679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18560448 + ... + 18561024.

Almost surely, 2^10709544672 is an apocalyptic number.

10709544672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10709544672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276766688).

10709544672 is an abundant number, since it is smaller than the sum of its proper divisors (21843988704).

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

10709544672 is a wasteful number, since it uses less digits than its factorization.

10709544672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10709544672 in words is "ten billion, seven hundred nine million, five hundred forty-four thousand, six hundred seventy-two".