209492849664 has 704 divisors, whose sum is σ = 779130777600. Its totient is φ = 54217506816.

The previous prime is 209492849563. The next prime is 209492849669. The reversal of 209492849664 is 466948294902.

209492849664 is a `hidden beast` number, since 2 + 0 + 9 + 492 + 84 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209492849669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84573994 + ... + 84576470.

Almost surely, 2^209492849664 is an apocalyptic number.

209492849664 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 209492849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389565388800).

209492849664 is an abundant number, since it is smaller than the sum of its proper divisors (569637927936).

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

209492849664 is a wasteful number, since it uses less digits than its factorization.

209492849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 209492849664 in words is "two hundred nine billion, four hundred ninety-two million, eight hundred forty-nine thousand, six hundred sixty-four".