10667840814 has 96 divisors (see below), whose sum is σ = 25045562880. Its totient is φ = 3270165696.

The previous prime is 10667840797. The next prime is 10667840819. The reversal of 10667840814 is 41804876601.

It is a super-2 number, since 2×10667840814² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10667840814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667840819) 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, 8186487 + ... + 8187789.

It is an arithmetic number, because the mean of its divisors is an integer number (260891280).

Almost surely, 2^10667840814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10667840814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522781440).

10667840814 is an abundant number, since it is smaller than the sum of its proper divisors (14377722066).

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

10667840814 is a wasteful number, since it uses less digits than its factorization.

10667840814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10667840814 in words is "ten billion, six hundred sixty-seven million, eight hundred forty thousand, eight hundred fourteen".