220724306064 has 30 divisors (see below), whose sum is σ = 617721495846. Its totient is φ = 73574768640.

The previous prime is 220724305961. The next prime is 220724306083. The reversal of 220724306064 is 460603427022.

220724306064 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 2 + 43 + 0 + 606 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207837515664 + 12886790400 = 455892^2 + 113520^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 766403697 + ... + 766403984.

Almost surely, 2^220724306064 is an apocalyptic number.

220724306064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220724306064 is an abundant number, since it is smaller than the sum of its proper divisors (396997189782).

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

220724306064 is a wasteful number, since it uses less digits than its factorization.

220724306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532807695 (or 1532807686 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 220724306064 in words is "two hundred twenty billion, seven hundred twenty-four million, three hundred six thousand, sixty-four".