10646324560 has 40 divisors (see below), whose sum is σ = 25606251720. Its totient is φ = 4111683072.

The previous prime is 10646324501. The next prime is 10646324581. The reversal of 10646324560 is 6542364601.

It can be written as a sum of positive squares in 4 ways, for example, as 17539344 + 10628785216 = 4188^2 + 103096^2 .

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

It is a super-2 number, since 2×10646324560² (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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292147 + ... + 2296786.

It is an arithmetic number, because the mean of its divisors is an integer number (640156293).

Almost surely, 2^10646324560 is an apocalyptic number.

10646324560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10646324560 is an abundant number, since it is smaller than the sum of its proper divisors (14959927160).

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

10646324560 is a wasteful number, since it uses less digits than its factorization.

10646324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588975 (or 4588969 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 10646324560 in words is "ten billion, six hundred forty-six million, three hundred twenty-four thousand, five hundred sixty".