10206643656 has 64 divisors (see below), whose sum is σ = 27896244480. Its totient is φ = 3086262080.

The previous prime is 10206643631. The next prime is 10206643679. The reversal of 10206643656 is 65634660201.

It is a super-3 number, since 3×10206643656³ (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 81895 + ... + 164681.

It is an arithmetic number, because the mean of its divisors is an integer number (435878820).

Almost surely, 2^10206643656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10206643656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948122240).

10206643656 is an abundant number, since it is smaller than the sum of its proper divisors (17689600824).

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

10206643656 is a wasteful number, since it uses less digits than its factorization.

10206643656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83274 (or 83270 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 10206643656 in words is "ten billion, two hundred six million, six hundred forty-three thousand, six hundred fifty-six".