221330672640 has 1760 divisors, whose sum is σ = 1027207526400. Its totient is φ = 44219105280.

The previous prime is 221330672617. The next prime is 221330672657. The reversal of 221330672640 is 46276033122.

221330672640 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 0 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221330672595 and 221330672604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 926069641 + ... + 926069879.

It is an arithmetic number, because the mean of its divisors is an integer number (583640640).

Almost surely, 2^221330672640 is an apocalyptic number.

221330672640 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 221330672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513603763200).

221330672640 is an abundant number, since it is smaller than the sum of its proper divisors (805876853760).

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

221330672640 is a wasteful number, since it uses less digits than its factorization.

221330672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 221330672640 in words is "two hundred twenty-one billion, three hundred thirty million, six hundred seventy-two thousand, six hundred forty".