10729043766 has 96 divisors (see below), whose sum is σ = 28867737600. Its totient is φ = 2810401920.

The previous prime is 10729043761. The next prime is 10729043869. The reversal of 10729043766 is 66734092701.

10729043766 is a `hidden beast` number, since 1 + 0 + 72 + 90 + 437 + 66 = 666.

It is a super-2 number, since 2×10729043766² (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 (10729043761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930 + ... + 146498.

It is an arithmetic number, because the mean of its divisors is an integer number (300705600).

Almost surely, 2^10729043766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10729043766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433868800).

10729043766 is an abundant number, since it is smaller than the sum of its proper divisors (18138693834).

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

10729043766 is a wasteful number, since it uses less digits than its factorization.

10729043766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144634 (or 144631 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10729043766 in words is "ten billion, seven hundred twenty-nine million, forty-three thousand, seven hundred sixty-six".