10167006672 has 120 divisors (see below), whose sum is σ = 30540471624. Its totient is φ = 3145900032.

The previous prime is 10167006649. The next prime is 10167006679. The reversal of 10167006672 is 27660076101.

It can be written as a sum of positive squares in 4 ways, for example, as 1367816256 + 8799190416 = 36984^2 + 93804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10167006679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150258 + ... + 207150.

Almost surely, 2^10167006672 is an apocalyptic number.

10167006672 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 10167006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270235812).

10167006672 is an abundant number, since it is smaller than the sum of its proper divisors (20373464952).

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

10167006672 is a wasteful number, since it uses less digits than its factorization.

10167006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56997 (or 56988 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10167006672 in words is "ten billion, one hundred sixty-seven million, six thousand, six hundred seventy-two".