209763089664 has 144 divisors (see below), whose sum is σ = 567300753600. Its totient is φ = 68799725568.

The previous prime is 209763089603. The next prime is 209763089671. The reversal of 209763089664 is 466980367902.

It is a junction number, because it is equal to n+sod(n) for n = 209763089598 and 209763089607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12054282 + ... + 12071670.

Almost surely, 2^209763089664 is an apocalyptic number.

209763089664 is a gapful number since it is divisible by the number (24) 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 209763089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283650376800).

209763089664 is an abundant number, since it is smaller than the sum of its proper divisors (357537663936).

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

209763089664 is a wasteful number, since it uses less digits than its factorization.

209763089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17660 (or 17646 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 209763089664 in words is "two hundred nine billion, seven hundred sixty-three million, eighty-nine thousand, six hundred sixty-four".