10667388672 has 216 divisors, whose sum is σ = 31934867328. Its totient is φ = 3420979200.

The previous prime is 10667388649. The next prime is 10667388679. The reversal of 10667388672 is 27688376601.

It is a super-2 number, since 2×10667388672² (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 (10667388679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16641472 + ... + 16642112.

It is an arithmetic number, because the mean of its divisors is an integer number (147846608).

Almost surely, 2^10667388672 is an apocalyptic number.

10667388672 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 10667388672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967433664).

10667388672 is an abundant number, since it is smaller than the sum of its proper divisors (21267478656).

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

10667388672 is a wasteful number, since it uses less digits than its factorization.

10667388672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10667388672 in words is "ten billion, six hundred sixty-seven million, three hundred eighty-eight thousand, six hundred seventy-two".