220661432640 has 168 divisors, whose sum is σ = 827981994528. Its totient is φ = 53493672960.

The previous prime is 220661432603. The next prime is 220661432701. The reversal of 220661432640 is 46234166022.

220661432640 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 6 + 1 + 4 + 3 + 2 + 640 = 666.

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 = 220661432595 and 220661432604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450982 + ... + 3514341.

Almost surely, 2^220661432640 is an apocalyptic number.

220661432640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220661432640 is an abundant number, since it is smaller than the sum of its proper divisors (607320561888).

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

220661432640 is a wasteful number, since it uses less digits than its factorization.

220661432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965357 (or 6965344 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 220661432640 its reverse (46234166022), we get a palindrome (266895598662).

The spelling of 220661432640 in words is "two hundred twenty billion, six hundred sixty-one million, four hundred thirty-two thousand, six hundred forty".