10671738072 has 64 divisors (see below), whose sum is σ = 27650764800. Its totient is φ = 3428181120.

The previous prime is 10671738059. The next prime is 10671738139. The reversal of 10671738072 is 27083717601.

It is a happy number.

10671738072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10671738072² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 366697 + ... + 394727.

It is an arithmetic number, because the mean of its divisors is an integer number (432043200).

Almost surely, 2^10671738072 is an apocalyptic number.

10671738072 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 10671738072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825382400).

10671738072 is an abundant number, since it is smaller than the sum of its proper divisors (16979026728).

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

10671738072 is a wasteful number, since it uses less digits than its factorization.

10671738072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28616 (or 28612 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 10671738072 in words is "ten billion, six hundred seventy-one million, seven hundred thirty-eight thousand, seventy-two".