10642209966 has 72 divisors (see below), whose sum is σ = 24387185160. Its totient is φ = 3353575392.

The previous prime is 10642209959. The next prime is 10642209997. The reversal of 10642209966 is 66990224601.

It is a super-2 number, since 2×10642209966² (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 35 ways as a sum of consecutive naturals, for example, 3656920 + ... + 3659828.

It is an arithmetic number, because the mean of its divisors is an integer number (338710905).

Almost surely, 2^10642209966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642209966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12193592580).

10642209966 is an abundant number, since it is smaller than the sum of its proper divisors (13744975194).

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

10642209966 is a wasteful number, since it uses less digits than its factorization.

10642209966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10642209966 in words is "ten billion, six hundred forty-two million, two hundred nine thousand, nine hundred sixty-six".