10672345640 has 32 divisors (see below), whose sum is σ = 26195758560. Its totient is φ = 3880852800.

The previous prime is 10672345639. The next prime is 10672345679. The reversal of 10672345640 is 4654327601.

It is a happy number.

It is a super-2 number, since 2×10672345640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10672345594 and 10672345603.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12127226 + ... + 12128105.

It is an arithmetic number, because the mean of its divisors is an integer number (818617455).

Almost surely, 2^10672345640 is an apocalyptic number.

10672345640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672345640 is an abundant number, since it is smaller than the sum of its proper divisors (15523412920).

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

10672345640 is a wasteful number, since it uses less digits than its factorization.

10672345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24255353 (or 24255349 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 10672345640 in words is "ten billion, six hundred seventy-two million, three hundred forty-five thousand, six hundred forty".