10742719168 has 168 divisors, whose sum is σ = 24061978800. Its totient is φ = 4739696640.

The previous prime is 10742719159. The next prime is 10742719217. The reversal of 10742719168 is 86191724701.

It is a happy number.

It is a super-2 number, since 2×10742719168² (a number of 21 digits) contains 22 as substring.

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, 33888546 + ... + 33888862.

Almost surely, 2^10742719168 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 10742719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12030989400).

10742719168 is an abundant number, since it is smaller than the sum of its proper divisors (13319259632).

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

10742719168 is a wasteful number, since it uses less digits than its factorization.

10742719168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 46.

The spelling of 10742719168 in words is "ten billion, seven hundred forty-two million, seven hundred nineteen thousand, one hundred sixty-eight".