10661682672 has 100 divisors (see below), whose sum is σ = 31440431880. Its totient is φ = 3486817152.

The previous prime is 10661682671. The next prime is 10661682679. The reversal of 10661682672 is 27628616601.

10661682672 is a `hidden beast` number, since 1 + 0 + 6 + 616 + 8 + 26 + 7 + 2 = 666.

It is a super-2 number, since 2×10661682672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661682671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8922 + ... + 146297.

Almost surely, 2^10661682672 is an apocalyptic number.

10661682672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661682672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720215940).

10661682672 is an abundant number, since it is smaller than the sum of its proper divisors (20778749208).

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

10661682672 is a wasteful number, since it uses less digits than its factorization.

10661682672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155292 (or 155277 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10661682672 in words is "ten billion, six hundred sixty-one million, six hundred eighty-two thousand, six hundred seventy-two".