209230100640 has 576 divisors, whose sum is σ = 821914853760. Its totient is φ = 47934996480.

The previous prime is 209230100617. The next prime is 209230100683. The reversal of 209230100640 is 46001032902.

209230100640 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 3 + 0 + 10 + 0 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202545564 + ... + 202546596.

It is an arithmetic number, because the mean of its divisors is an integer number (1426935510).

Almost surely, 2^209230100640 is an apocalyptic number.

209230100640 is a gapful number since it is divisible by the number (20) 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 209230100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410957426880).

209230100640 is an abundant number, since it is smaller than the sum of its proper divisors (612684753120).

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

209230100640 is a wasteful number, since it uses less digits than its factorization.

209230100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 209230100640 in words is "two hundred nine billion, two hundred thirty million, one hundred thousand, six hundred forty".