10167673340 has 48 divisors (see below), whose sum is σ = 23476690944. Its totient is φ = 3668212800.

The previous prime is 10167673301. The next prime is 10167673343. The reversal of 10167673340 is 4337676101.

10167673340 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 2×10167673340² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10167673294 and 10167673303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10167673343) by changing a digit.

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, 154016 + ... + 209895.

It is an arithmetic number, because the mean of its divisors is an integer number (489097728).

Almost surely, 2^10167673340 is an apocalyptic number.

10167673340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10167673340 is an abundant number, since it is smaller than the sum of its proper divisors (13309017604).

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

10167673340 is a wasteful number, since it uses less digits than its factorization.

10167673340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364058 (or 364056 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 10167673340 in words is "ten billion, one hundred sixty-seven million, six hundred seventy-three thousand, three hundred forty".