220765409064 has 128 divisors (see below), whose sum is σ = 646309008000. Its totient is φ = 69629414400.

The previous prime is 220765409063. The next prime is 220765409101. The reversal of 220765409064 is 460904567022.

220765409064 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (220765409063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3336624 + ... + 3402144.

It is an arithmetic number, because the mean of its divisors is an integer number (5049289125).

Almost surely, 2^220765409064 is an apocalyptic number.

220765409064 is a gapful number since it is divisible by the number (24) 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 220765409064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323154504000).

220765409064 is an abundant number, since it is smaller than the sum of its proper divisors (425543598936).

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

220765409064 is a wasteful number, since it uses less digits than its factorization.

220765409064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66376 (or 66366 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 220765409064 in words is "two hundred twenty billion, seven hundred sixty-five million, four hundred nine thousand, sixty-four".