221074064640 has 2160 divisors, whose sum is σ = 990657271296. Its totient is φ = 46581350400.

The previous prime is 221074064621. The next prime is 221074064647. The reversal of 221074064640 is 46460470122.

221074064640 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 7 + 4 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 221074064595 and 221074064604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221074064647) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5974974702 + ... + 5974974738.

Almost surely, 2^221074064640 is an apocalyptic number.

221074064640 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 221074064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495328635648).

221074064640 is an abundant number, since it is smaller than the sum of its proper divisors (769583206656).

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

221074064640 is a wasteful number, since it uses less digits than its factorization.

221074064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 221074064640 in words is "two hundred twenty-one billion, seventy-four million, sixty-four thousand, six hundred forty".