220726136320 has 320 divisors, whose sum is σ = 560737235520. Its totient is φ = 83210272768.

The previous prime is 220726136317. The next prime is 220726136321. The reversal of 220726136320 is 23631627022.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220726136321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696296802 + ... + 696297118.

It is an arithmetic number, because the mean of its divisors is an integer number (1752303861).

Almost surely, 2^220726136320 is an apocalyptic number.

220726136320 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 220726136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280368617760).

220726136320 is an abundant number, since it is smaller than the sum of its proper divisors (340011099200).

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

220726136320 is a wasteful number, since it uses less digits than its factorization.

220726136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 220726136320 in words is "two hundred twenty billion, seven hundred twenty-six million, one hundred thirty-six thousand, three hundred twenty".