220733300736 has 1344 divisors, whose sum is σ = 824382074880. Its totient is φ = 56056872960.

The previous prime is 220733300731. The next prime is 220733300803. The reversal of 220733300736 is 637003337022.

220733300736 is a `hidden beast` number, since 220 + 73 + 330 + 0 + 7 + 36 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220733300736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220733300731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7120429041 + ... + 7120429071.

It is an arithmetic number, because the mean of its divisors is an integer number (613379520).

Almost surely, 2^220733300736 is an apocalyptic number.

220733300736 is a gapful number since it is divisible by the number (26) 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 220733300736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412191037440).

220733300736 is an abundant number, since it is smaller than the sum of its proper divisors (603648774144).

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

220733300736 is a wasteful number, since it uses less digits than its factorization.

220733300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 36.

Adding to 220733300736 its reverse (637003337022), we get a palindrome (857736637758).

The spelling of 220733300736 in words is "two hundred twenty billion, seven hundred thirty-three million, three hundred thousand, seven hundred thirty-six".