10644636672 has 66 divisors (see below), whose sum is σ = 30736183998. Its totient is φ = 3548209152.

The previous prime is 10644636643. The next prime is 10644636677. The reversal of 10644636672 is 27663644601.

It is a happy number.

10644636672 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 636 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8422834176 + 2221802496 = 91776^2 + 47136^2 .

It is a super-2 number, since 2×10644636672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10644636677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 568293 + ... + 586724.

Almost surely, 2^10644636672 is an apocalyptic number.

10644636672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10644636672 is an abundant number, since it is smaller than the sum of its proper divisors (20091547326).

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

10644636672 is a wasteful number, since it uses less digits than its factorization.

10644636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155043 (or 1155022 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 10644636672 in words is "ten billion, six hundred forty-four million, six hundred thirty-six thousand, six hundred seventy-two".