10540006640 has 40 divisors (see below), whose sum is σ = 24610732848. Its totient is φ = 4197900800.

The previous prime is 10540006639. The next prime is 10540006651. The reversal of 10540006640 is 4660004501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10540006640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264086 + ... + 301365.

Almost surely, 2^10540006640 is an apocalyptic number.

10540006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540006640 is an abundant number, since it is smaller than the sum of its proper divisors (14070726208).

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

10540006640 is a wasteful number, since it uses less digits than its factorization.

10540006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565697 (or 565691 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10540006640 in words is "ten billion, five hundred forty million, six thousand, six hundred forty".